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Patrice Marcotte - Author Profile - zbMATH Open
<!doctype html> <html lang="en"> <head> <meta charset="utf-8"> <title>Patrice Marcotte - Author Profile - zbMATH Open</title> <meta name="viewport" content="width=device-width, minimum-scale=0.1, maximum-scale=5.0"> <meta name="robots" content="noarchive"> <meta name="referrer" content="origin-when-cross-origin"> <link href="https://static.zbmath.org/contrib/bootstrap/v3.3.7/css/bootstrap.min.css" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/contrib/bootstrap/v3.3.7/css/bootstrap-theme.min.css" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.css" rel="stylesheet" media="screen,print"> <link rel="stylesheet" href="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/css/bootstrap-select.min.css"> <link href="/static/css/smoothness/jquery-ui-1.10.1.custom.min.css" rel="stylesheet" media="screen"> <link href="/static/styles.css?v=20241024" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/zbMathJax/v0.1.38/zbmathjax.css" rel="stylesheet" media="screen,print"> <link rel="shortcut icon" href="/static/zbmath.ico"> <script type="application/ld+json"> { "@context": "http://schema.org", "@type": "Organization", "url": "https://zbmath.org/", "logo": "https://zbmath.org/static/zbMATH.png" } </script> </head> <body> <div id="line"></div> <span id="clear" style="cursor: pointer;">×</span> <div id="page"> <div id="head"> <nav id="menu" class="navbar navbar-default"> <div class="container-fluid"> <div class="navbar-header"> <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#zbnav" aria-expanded="false"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar"></span> <span class="icon-bar"></span> <span class="icon-bar"></span> </button> <a class="navbar-brand" href="#"> <img class="logo" src="/static/zbmath.gif" alt="zbMATH Open logo"> </a> </div> <div id="zbnav" class="collapse navbar-collapse"> <ul class="nav navbar-nav pages"> <li class="about"> <a href="/about/">About</a> </li> <li class="frequently-asked-questions"> <a href="/frequently-asked-questions/">FAQ</a> </li> <li class="general-help"> <a href="/general-help/">General Help</a> </li> <li class="reviewer-service"> <a href="https://zbmath.org/reviewer-service/" target="_self" >Reviewer Service</a> </li> <li> <a href="/tools-and-resources/">Tools & Resources</a> </li> <li class="contact"> <a href="/contact/">Contact</a> </li> </ul> <ul class="nav navbar-nav navbar-right prefs"> <li class="preferences dropdown"> <a data-toggle="dropdown" href="#">Preferences <i class="caret"></i></a> <ul class="dropdown-menu preferences"> <li> <form id="preferences" class="navbar-form" method="post" action="/preferences/" onsubmit="return confirm('This website uses cookies for the purposes of storing preference information on your device. 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type="text" name="q" value="ai:marcotte.patrice" aria-label="Search for authors" placeholder="Search for authors" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ai:</span><span> </span>author code</a></li> <li><a href="#"><span class="token item">au:</span><span> </span>author name</a></li> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere</a></li> <li><a href="#"><span class="token item">aw:</span><span> </span>award</a></li> <li><a href="#"><span class="token item">cc:</span><span> </span>main field</a></li> <li><a href="#"><span class="token item">cm:</span><span> </span>collectives of</a></li> <li><a href="#"><span class="token item">co:</span><span> </span>in collective</a></li> <li><a href="#"><span class="token item">en:</span><span> </span>external id type</a></li> <li><a href="#"><span class="token item">fn:</span><span> </span>first name</a></li> <li><a href="#"><span class="token item">ln:</span><span> </span>last name</a></li> <li><a href="#"><span class="token item">py:</span><span> </span>publication year</a></li> <li><a href="#"><span class="token item">rv:</span><span> </span>reviewer</a></li> <li><a href="#"><span class="token item">st:</span><span> </span>state</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a <span class="item">&</span> b </span><span> </span>logical and (default)</a></li> <li><a href="#"><span class="token">a <span class="item">|</span> b </span><span> </span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab </span><span> </span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span> </span><span> </span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab c<span class="item">"</span></span><span> </span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab c<span class="item">)</span></span><span> </span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Simon+Donald%2A">Simon Donald*</a></span> <span class="search-explanation" role="cell" role="cell">Search in <strong>all parts</strong> of an author's name (results contain <em>Simon, Donald</em> M. and <em>Donald</em>son, <em>Simon</em> Kirwan).</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=ln%3A+Donald%2A+fn%3A+Simon">ln: Donald* fn: Simon</a></span> <span class="search-explanation" role="cell" role="cell">Search for specified family (<strong>ln</strong>) and given (<strong>fn</strong>) name.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=au%3A+Stefan+M%C3%BCller+cc%3A49">au: Stefan Müller cc:49</a></span> <span class="search-explanation" role="cell" role="cell">Combine name search (<strong>au</strong>) with main MSC fields (<strong>cc</strong>).</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=au%3A+Helga+Bunke">au: Helga Bunke</a></span> <span class="search-explanation" role="cell" role="cell">Search results include <strong>name variations</strong>, in particular <strong>name changes</strong>, different <strong>transliterations</strong> and <strong>pseudonyms</strong>. Names of collectives will be displayed as a separate entity.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%28st%3Ar+%26+b%29+%7C+%28st%3Ao%29">(st:r & b) | (st:o)</a></span> <span class="search-explanation" role="cell" role="cell">Search results include all <strong><u>r</u>eviewers</strong> with <strong><u>b</u>iographic information</strong> or <strong>c<u>o</u>llectives</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%28en%3AMGP+%7C+wikidata%29+ln%3Aa%2A">(en:MGP | wikidata) ln:a*</a></span> <span class="search-explanation" role="cell" role="cell">Search results include all authors having either an <strong><u>en</u>try</strong> in the <em>Math Genealogy</em> Project or in <em>Wikidata</em> and whose family name starts with <em>A</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=aw%3A+Fields+Abel">aw: Fields Abel</a></span> <span class="search-explanation" role="cell" role="cell">Search for all <em>Fields Medal</em> <strong><u>aw</u>ard winners</strong> who also received an <em>Abel Prize</em>. The <strong>&</strong> operator is default and ommitted here.</span> </div> </div> <p style="margin-bottom:0.5cm;"></p> <h2>Fields</h2> <div id="help-fields" role="table"> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ai</strong> </span> <span class="search-explanation" role="cell" role="cell"> zbMATH author ID </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>au</strong> </span> <span class="search-explanation" role="cell" role="cell"> Author name </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>any</strong> </span> <span class="search-explanation" role="cell" role="cell"> Includes ai, au, aw, cc </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>aw</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name of an award (to find laureates) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>cc</strong> </span> <span class="search-explanation" role="cell" role="cell"> Main Fields of the author (given by first two MSC digits) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>cm</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name of a collective (to find members of this collective) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>co</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name of an author (to find collectives the author is a member of) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>en</strong> </span> <span class="search-explanation" role="cell" role="cell"> External author ID: ORCID, MGP, Wikidata object number and others </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>fn</strong> </span> <span class="search-explanation" role="cell" role="cell"> First name </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ln</strong> </span> <span class="search-explanation" role="cell" role="cell"> Last name </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>py</strong> </span> <span class="search-explanation" role="cell" role="cell"> Year(s) in which the author has published. Interval search with “-” </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>rv</strong> </span> <span class="search-explanation" role="cell" role="cell"> Reviewer ID </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>st</strong> </span> <span class="search-explanation" role="cell" role="cell"> State: has biographic references (<em>st:b</em>), is cited (<em>st:c</em>), is collective (st:o), has references (<em>st:r</em>) </span> </div> </div> <p style="margin-bottom:0.5cm;"></p> <h2>Operators</h2> <div id="operators-fields" role="table"> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>a & b</strong></span> <span class="search-explanation" role="cell" role="cell">logical and</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>a | b</strong></span> <span class="search-explanation" role="cell" role="cell">logical or</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>!ab</strong></span> <span class="search-explanation" role="cell" role="cell">logical not</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>abc*</strong></span> <span class="search-explanation" role="cell" role="cell">right wildcard</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>ab c</strong></span> <span class="search-explanation" role="cell" role="cell">phrase</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>(ab c)</strong></span> <span class="search-explanation" role="cell" role="cell">parentheses</span> </div> </div> <p> See also our <a href="/general-help/">General Help</a>. </p></div> </div> </form> <form class="form-inline" name="authors" method="get" action="/authors/"> <div class="authors structured" style="display: none;"> <div class="forms"> <ul class="nav forms"> <li class="one-line"><span tabindex="0" class="glyphicon glyphicon-question-sign" title="One-Line Search allows for free logical combinations of search fields" aria-label="One-Line Search allows for free logical combinations of search fields" data-placement="bottom"></span> <a style="display: inline-block;" href="#">One-Line Search <span class="glyphicon glyphicon-search"></span></a></li> </ul> </div> <div class="clearfix"></div> <div class="container-fluid two-columns"> <div class="row"> <div class="col-xs-12 col-sm-6"> <div class="form-group field ln"> <label for="ln">Family Name:</label> <input id="ln" name="ln" class="form-control" type="text" value="" placeholder=""> </div> <div class="form-group field fn"> <label for="fn">Given Name:</label> <input id="fn" name="fn" class="form-control" type="text" value="" placeholder=""> </div> <div class="form-group field cc"> <label for="cc">Main Fields:</label> <input id="cc" name="cc" class="form-control" type="text" value="" placeholder=""> <span tabindex="0" class="glyphicon glyphicon-question-sign" title="field given by first two MSC digits" aria-label="field given by first two MSC digits"></span> </div> <div class="form-group field st checkboxes-wrapper"> <label>Status:</label> <div class="checkboxes"> <input type="checkbox" id="st-z" name="st" class="form-control" value="z"> <label for="st-z" title="restrict to Authors who are zbMATH Reviewers"> Reviewer</label><br> <input type="checkbox" id="st-b" name="st" class="form-control" value="b"> <label for="st-b" title="restrict to Authors having Biographic References"> Biographic References</label><br> </div> </div> </div> <div class="col-xs-12 col-sm-6"> <div class="form-group field ai"> <label for="ai">zbMATH Author ID:</label> <input id="ai" name="ai" class="form-control" type="text" value="" placeholder=""> </div> <div class="form-group field en"> <label for="en">External ID:</label> <input id="en" name="en" class="form-control" type="text" value="" placeholder=""> <span tabindex="0" class="glyphicon glyphicon-question-sign" title="e.g. ORCID, MGP, …" aria-label="e.g. ORCID, MGP, ..."></span> </div> <div class="form-group field any"> <label for="any">Anywhere:</label> <input id="any" name="any" class="form-control" type="text" value="" placeholder=""> </div> <div class="form-group field aw"> <label for="aw">Awards:</label> <select id="aw" name="aw" class="form-control"> <option value=""></option> <option value="Abel Prize">Abel Prize</option> <option value="Breakthrough Prize in Mathematics">Breakthrough Prize in Mathematics</option> <option value="Carl Friedrich Gauss Prize">Carl Friedrich Gauss Prize</option> <option value="Chern Medal">Chern Medal</option> <option value="Clay Research Award">Clay Research Award</option> <option value="EMS Prize">EMS Prize</option> <option value="Fields Medal">Fields Medal</option> <option value="Kyoto Prize in Basic Sciences">Kyoto Prize in Basic Sciences</option> <option value="Nevanlinna Prize">Nevanlinna Prize</option> <option value="Nobel Memorial Prize in Economic Sciences">Nobel Memorial Prize in Economic Sciences</option> <option value="Nobel Prize in Physics">Nobel Prize in Physics</option> <option value="Shaw Prize">Shaw Prize</option> <option value="Turing Award">Turing Award</option> <option value="Wolf Prize">Wolf Prize</option> </select> </div> </div> </div> </div> <div class="clearfix"></div> <div class="container-fluid"> <div class="row buttons"> <div class="col-xs-6"> <a tabindex="0" class="btn btn-default clear-all">Clear all <span class="glyphicon glyphicon-remove"></span></a> </div> <div class="col-xs-12 col-sm-6"> <div class="submit"> <button class="btn btn-default search" type="submit">Search <span class="glyphicon glyphicon-search"></span></button> </div> </div> </div> </div> <div class="clearfix"></div> </div> </form> <div class="clear"></div> </div><div class="content-shadow"></div> </div> </div> <div id="body"> <div id="main"> <div class="messages"> </div> <div id="authors"> <div class="content-main"> <article> <div class="head"> <div class="pull-right"> <a class="btn btn-default matrix edit-profile" type="button" href="/author-profile/edit/marcotte.patrice" target="_blank">Edit Profile <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></a> </div> <h2>Marcotte, Patrice</h2> </div> <div class="erdos pull-right"> <a href="/collaboration-distance/?a=marcotte.patrice&b=erdos.paul" title="Compute Co-Author Distance to Erdős or any other Author"> Co-Author Distance </a> </div> <div class="text" style="max-width: 80%;"> <table> <tr> <td>Author ID:</td> <td>marcotte.patrice <a target="_blank" href="/atom/ai/marcotte.patrice"><img class="feed-icon" alt="Recent zbMATH articles by "Marcotte, Patrice"" src="/static/feed-icon-14x14.png"></a></td> </tr><tr> <td>Published as:</td> <td><span>Marcotte, Patrice</span>; <span>Marcotte, P.</span></td> </tr> </table> </div> <div class="indexed"> <table> <tr> <td>Documents Indexed:</td> <td> <a href="/?q=ia%3Amarcotte.patrice">92 Publications</a> since 1984, including <a href="/?q=ia%3Amarcotte.patrice+dt%3Ap">1 Additional arXiv Preprint</a> </td> </tr> <tr> <td></td> <td> <a href="/?q=ei%3Amarcotte.patrice">3 Contributions as Editor</a> </td> </tr> <tr> <td>Co-Authors:</td> <td> <a href="/authors/?q=ai1%3Amarcotte.patrice">46 Co-Authors</a> with <a href="/?q=ai%3Amarcotte.patrice+ai1%3Amarcotte.patrice"> 86 Joint Publications</a> </td> </tr> <tr><td></td><td> <a href="/authors/?q=ai2%3Amarcotte.patrice">1,420 Co-Co-Authors</a> </td> </table> </div> <div class="profile"> <div class="facet1st"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3>Co-Authors</h3> <table class="profile"> <tr class="single_authored"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+na%3A1" title="Single-Authored Publications">9</a> </td> <td class="text">single-authored</td> </tr><tr> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Asavard.gilles" title="Joint Publications">38</a> </td> <td class="text"> <a href="/authors/savard.gilles" title="Author Profile"> Savard, Gilles </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Azhu.daoli" title="Joint Publications">19</a> </td> <td class="text"> <a href="/authors/zhu.daoli" title="Author Profile"> Zhu, Daoli </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Abrotcorne.luce" title="Joint Publications">8</a> </td> <td class="text"> <a href="/authors/brotcorne.luce" title="Author Profile"> Brotcorne, Luce </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Alabbe.martine-v" title="Joint Publications">8</a> </td> <td class="text"> <a href="/authors/labbe.martine-v" title="Author Profile"> Labbé, Martine V. </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Anguyen.sang" title="Joint Publications">5</a> </td> <td class="text"> <a href="/authors/nguyen.sang" title="Author Profile"> Nguyen, Sang </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Adussault.jean-pierre" title="Joint Publications">4</a> </td> <td class="text"> <a href="/authors/dussault.jean-pierre" title="Author Profile"> Dussault, Jean-Pierre </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Awu.jiahao" title="Joint Publications">4</a> </td> <td class="text"> <a href="/authors/wu.jiahao" title="Author Profile"> Wu, Jiahao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Acolson.benoit" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/colson.benoit" title="Author Profile"> Colson, Benoît </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Adan.teodora" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/dan.teodora" title="Author Profile"> Dan, Teodora </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Aflorian.michael" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/florian.michael" title="Author Profile"> Florian, Michael </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Agendreau.michel" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/gendreau.michel" title="Author Profile"> Gendreau, Michel </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Agilbert.francois" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/gilbert.francois" title="Author Profile"> Gilbert, François </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Alodi.andrea" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/lodi.andrea" title="Author Profile"> Lodi, Andrea </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Amarquis.gerald" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/marquis.gerald" title="Author Profile"> Marquis, Gérald </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Aafsar.sezin" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/afsar.sezin" title="Author Profile"> Afsar, Sezin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Acirinei.fabien" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/cirinei.fabien" title="Author Profile"> Cirinei, Fabien </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Adubuc.serge" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/dubuc.serge" title="Author Profile"> Dubuc, Serge </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Aguelat.jacques" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/guelat.jacques" title="Author Profile"> Guélat, Jacques </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Ahamdouch.younes" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/hamdouch.younes" title="Author Profile"> Hamdouch, Younes </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Ahaurie.alain-b" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/haurie.alain-b" title="Author Profile"> Haurie, Alain B. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Aheilporn.geraldine" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/heilporn.geraldine" title="Author Profile"> Heilporn, Géraldine </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Ahosseinalifam.m" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/hosseinalifam.m" title="Author Profile"> Hosseinalifam, M. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Akagabo.issa" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/kagabo.issa" title="Author Profile"> Kagabo, Issa </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Aroch.sebastien" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/roch.sebastien" title="Author Profile"> Roch, Sébastien </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Aschoeb.alexandre" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/schoeb.alexandre" title="Author Profile"> Schoeb, Alexandre </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Awu.shiquan" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/wu.shiquan" title="Author Profile"> Wu, Shiquan </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Aanjos.miguel-f" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/anjos.miguel-f" title="Author Profile"> Anjos, Miguel F. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Abastin.fabian" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/bastin.fabian" title="Author Profile"> Bastin, Fabian </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Abiha.mohamed-didi" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/biha.mohamed-didi" title="Author Profile"> Biha, Mohamed Didi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Ablain.marie" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/blain.marie" title="Author Profile"> Blain, Marie </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Acarvalho.margarida" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/carvalho.margarida" title="Author Profile"> Carvalho, Margarida </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Achen.yang.8" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/chen.yang.8" title="Author Profile"> Chen, Yang </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Acrainic.teodor-gabriel" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/crainic.teodor-gabriel" title="Author Profile"> Crainic, Teodor Gabriel </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Acrouzeix.jean-pierre" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/crouzeix.jean-pierre" title="Author Profile"> Crouzeix, Jean-Pierre </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Adesrochers.martin" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/desrochers.martin" title="Author Profile"> Desrochers, Martin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Adewez.sophie" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/dewez.sophie" title="Author Profile"> Dewez, Sophie </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Afernandez.enrique-d" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/fernandez.enrique-d" title="Author Profile"> Fernández, Enrique D. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Agoffin.jean-louis" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/goffin.jean-louis" title="Author Profile"> Goffin, Jean-Louis </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Akuiteing.aime-kamgaing" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/kuiteing.aime-kamgaing" title="Author Profile"> Kuiteing, Aimé Kamgaing </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Anasri.mostafa" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/nasri.mostafa" title="Author Profile"> Nasri, Mostafa </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Apotvin.jean-yves" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/potvin.jean-yves" title="Author Profile"> Potvin, Jean-Yves </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Aseguin.rene" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/seguin.rene" title="Author Profile"> Séguin, René </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Asemet.frederic" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/semet.frederic" title="Author Profile"> Semet, Frédéric </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Asharif-azadeh.shadi" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/sharif-azadeh.shadi" title="Author Profile"> Sharif Azadeh, Shadi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Astan.mihnea" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/stan.mihnea" title="Author Profile"> Stan, Mihnea </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+ai%3Azubieta.lourdes" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/zubieta.lourdes" title="Author Profile"> Zubieta, Lourdes </a> </td></tr> </table> </div> <div class="facet2nd"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3>Serials</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+se%3A918" title="Publications in this Serial">9</a> </td> <td class="text"> <a href="/serials/?q=se%3A918" title="Serial Profile"> Operations Research Letters </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+se%3A1155" title="Publications in this Serial">8</a> </td> <td class="text"> <a href="/serials/?q=se%3A1155" title="Serial Profile"> Transportation Science </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+se%3A1149" title="Publications in this Serial">6</a> </td> <td class="text"> <a href="/serials/?q=se%3A1149" title="Serial Profile"> Computers & Operations Research </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+se%3A1574" title="Publications in this Serial">6</a> </td> <td class="text"> <a href="/serials/?q=se%3A1574" title="Serial Profile"> European Journal of Operational Research </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+se%3A1831" title="Publications in this Serial">6</a> </td> <td class="text"> <a href="/serials/?q=se%3A1831" title="Serial Profile"> Computational Optimization and Applications </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+se%3A1746" title="Publications in this Serial">5</a> </td> <td class="text"> <a href="/serials/?q=se%3A1746" title="Serial Profile"> Mathematical Programming. Series A. 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optimization <span style="white-space: nowrap;">(49-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+cc%3A65" title="Publications in this Field">11</a> </td> <td class="text"> <a href="/classification/?q=cc%3A65" title="Mathematics Subject Classification"> Numerical analysis <span style="white-space: nowrap;">(65-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+cc%3A47" title="Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A47" title="Mathematics Subject Classification"> Operator theory <span style="white-space: nowrap;">(47-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+cc%3A00" title="Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A00" title="Mathematics Subject Classification"> General and overarching topics; collections <span style="white-space: nowrap;">(00-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+cc%3A58" title="Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A58" title="Mathematics Subject Classification"> Global analysis, analysis on manifolds <span style="white-space: nowrap;">(58-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+cc%3A93" title="Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A93" title="Mathematics Subject Classification"> Systems theory; control <span style="white-space: nowrap;">(93-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+cc%3A62" title="Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A62" title="Mathematics Subject Classification"> Statistics <span style="white-space: nowrap;">(62-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+cc%3A28" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A28" title="Mathematics Subject Classification"> Measure and integration <span style="white-space: nowrap;">(28-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Amarcotte.patrice+cc%3A41" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A41" title="Mathematics Subject Classification"> Approximations and expansions <span style="white-space: nowrap;">(41-XX)</span> </a> </td></tr> </table> </div> <div class="diagram svg-diagram"> <h3>Publications by Year</h3> <div class="diagram ai-diagram" aria-label="publications by year"></div> <style> rect:hover { fill: steelblue; } .axis path, .axis line { fill: none; stroke: #000; shape-rendering: crispEdges; } .bar { fill: steelblue; } a:hover .bar, a:focus .bar { stroke: black; fill-opacity: 60%; } </style> <script src="/static/js/d3.v3.min.js"></script> <script> var margin = { top: 20, right: 0, bottom: 30, left: 50 }; var width = 930 - margin.left - margin.right; var height = 150 - margin.top - margin.bottom; var svg = d3.selectAll(".ai-diagram").append("svg") .attr("width", width + margin.left + margin.right) .attr("height", height + margin.top + margin.bottom) .append("g") .attr("transform", "translate(" + margin.left + "," + margin.top + ")"); var data = [{ year:1984, frequency:1 },{ year:1985, frequency:1 },{ year:1986, frequency:3 },{ year:1987, frequency:3 },{ year:1988, frequency:2 },{ year:1989, frequency:3 },{ year:1991, frequency:3 },{ year:1992, frequency:4 },{ year:1993, frequency:2 },{ year:1994, frequency:2 },{ year:1995, frequency:7 },{ year:1996, frequency:4 },{ year:1997, frequency:4 },{ year:1998, frequency:5 },{ year:1999, frequency:3 },{ year:2000, frequency:6 },{ year:2001, frequency:3 },{ year:2002, frequency:1 },{ year:2004, frequency:4 },{ year:2005, frequency:4 },{ year:2006, frequency:3 },{ year:2007, frequency:1 },{ year:2008, frequency:3 },{ year:2009, frequency:2 },{ year:2010, frequency:1 },{ year:2011, frequency:2 },{ year:2012, frequency:1 },{ year:2013, frequency:1 },{ year:2014, frequency:3 },{ year:2015, frequency:5 },{ year:2016, frequency:2 },{ year:2018, frequency:2 },{ year:2019, frequency:1 },{ year:2020, frequency:1 },{ year:2021, frequency:2 }]; data.forEach(function(d) { d.year = +d.year; d.frequency = +d.frequency; }); var xScale = d3.scale.ordinal() .rangeRoundBands([0, width], .1); var yScale = d3.scale.linear() .range([height, 0]); // fill if less than 20 years span var zero = d3.max( [ 20 - ( d3.max( data, d => d.year ) + 1 - d3.min( data, d => d.year ) ), 0 ] ); // generate range from min to max xScale.domain( d3.range( d3.min( data, d => d.year ), d3.max( data, d => d.year ) + 1 + zero ) ); yScale.domain( [ 0, d3.max( data, d => d.frequency ) ] ); var xAxis = d3.svg.axis() .scale(xScale) .tickValues( // show ticks every 5 years for range up to 50 years, every 10 // years up to 100 years, and every 20 years above that xScale.domain().filter( function(d, i) { let ticks; if (xScale.domain().length <= 50) { ticks = 5; } else if (xScale.domain().length <= 100) { ticks = 10; } else { ticks = 20; } return !(d % ticks); } ) ) .tickSize(6,3,0) // removes end tick .orient("bottom"); var yAxis = d3.svg.axis() .scale(yScale) .ticks(3) // number of ticks .tickFormat(d3.format("d")) // only integers .tickSize(6,3,0) // removes end tick .orient("left"); svg.selectAll(".bar") .data(data) .enter() .append("a") .attr( "xlink:href", d => "/?q=ai%3Amarcotte.patrice+py%3A" + d.year ) .attr( "title", d => d.frequency + " Publication" + (d.frequency > 1 ? "s" : "") + " in " + d.year ) .append("rect") .attr("class", "bar") .attr("x", d => xScale(d.year)) .attr("width", xScale.rangeBand()) .attr("y", d => yScale(d.frequency)) .attr("height", d => height - yScale(d.frequency)); svg.append("g") .attr("class", "x axis") .attr("transform", "translate(0," + height + ")") .call(xAxis); svg.append("g") .attr("class", "y axis") .call(yAxis) .append("text") .attr("transform", "rotate(-90)") .attr("y", 6) .attr("dy", ".75em") .style("text-anchor", "end") .text(""); </script> </div> </div> <div class="publications sort_by_ci hide_more"><div class="more_less"> <a tabindex="0" class="more">all cited Publications <i class="caret"></i></a> <a tabindex="0" class="less">top 5 cited Publications <i class="caret"></i></a> </div><h3>Citations contained in zbMATH Open</h3> <table> <thead> <tr> <th> <strong>88 Publications have been cited 1,853 times in <a href="/?q=ra%3Amarcotte.patrice">1,289 Documents</a> </strong> </th> <th> <a tabindex="0" class="sort_cited">Cited by<span class="pub_ci"> ▼</span></a> </th> <th> <a tabindex="0" class="sort_year">Year<span class="pub_py"> ▼</span></a> </th> </tr> </thead> <tbody> <tr class="pub_ci"> <td> <a class="black" href="/1159.90483">An overview of bilevel optimization.</a> <a class="label nowrap" href="/1159.90483">Zbl 1159.90483</a> <br><a href="/authors/colson.benoit" title="Author Profile">Colson, Benoît</a>; <a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; <a href="/authors/savard.gilles" title="Author Profile">Savard, Gilles</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5255855">254</a> </div> </td> <td> <div class="citation_year">2007</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/0855.47043">Co-coercivity and its role in the convergence of iterative schemes for solving variational inequalities.</a> <a class="label nowrap" href="/0855.47043">Zbl 0855.47043</a> <br><a href="/authors/zhu.daoli" title="Author Profile">Zhu, D. L.</a>; <a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A935272">148</a> </div> </td> <td> <div class="citation_year">1996</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/0781.90086">Application of Khobotov’s algorithm to variational inequalities and network equilibrium problems.</a> <a class="label nowrap" href="/0781.90086">Zbl 0781.90086</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A446344">116</a> </div> </td> <td> <div class="citation_year">1991</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/1134.90482">Bilevel programming: a survey.</a> <a class="label nowrap" href="/1134.90482">Zbl 1134.90482</a> <br><a href="/authors/colson.benoit" title="Author Profile">Colson, Benoît</a>; <a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; <a href="/authors/savard.gilles" title="Author Profile">Savard, Gilles</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5010096">96</a> </div> </td> <td> <div class="citation_year">2005</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/0989.90014">A bilevel model of taxation and its application to optimal highway pricing.</a> <a class="label nowrap" href="/0989.90014">Zbl 0989.90014</a> <br><a href="/authors/labbe.martine-v" title="Author Profile">Labbé, Martine</a>; <a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; <a href="/authors/savard.gilles" title="Author Profile">Savard, Gilles</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1731095">93</a> </div> </td> <td> <div class="citation_year">1998</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1032.90050">Weak sharp solutions of variational inequalities.</a> <a class="label nowrap" href="/1032.90050">Zbl 1032.90050</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; <a href="/authors/zhu.daoli" title="Author Profile">Zhu, Daoli</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1252632">83</a> </div> </td> <td> <div class="citation_year">2000</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0623.65073">A note on a globally convergent Newton method for solving monotone variational inequalities.</a> <a class="label nowrap" href="/0623.65073">Zbl 0623.65073</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; <a href="/authors/dussault.jean-pierre" title="Author Profile">Dussault, Jean-Pierre</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4011814">62</a> </div> </td> <td> <div class="citation_year">1987</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0579.90030">On the relationship between Nash-Cournot and Wardrop equilibria.</a> <a class="label nowrap" href="/0579.90030">Zbl 0579.90030</a> <br><a href="/authors/haurie.alain-b" title="Author Profile">Haurie, A.</a>; <a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3928684">55</a> </div> </td> <td> <div class="citation_year">1985</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0604.90053">Network design problem with congestion effects: A case of bilevel programming.</a> <a class="label nowrap" href="/0604.90053">Zbl 0604.90053</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3976733">53</a> </div> </td> <td> <div class="citation_year">1986</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0592.90074">Some comments on Wolfe’s ’away step’.</a> <a class="label nowrap" href="/0592.90074">Zbl 0592.90074</a> <br><a href="/authors/guelat.jacques" title="Author Profile">Guélat, Jacques</a>; <a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3952506">48</a> </div> </td> <td> <div class="citation_year">1986</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0831.90104">On the convergence of projection methods: Application to the decomposition of affine variational inequalities.</a> <a class="label nowrap" href="/0831.90104">Zbl 0831.90104</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, P.</a>; <a href="/authors/wu.jiahao" title="Author Profile">Wu, J. H.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A790570">40</a> </div> </td> <td> <div class="citation_year">1995</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0813.90111">A general descent framework for the monotone variational inequality problem.</a> <a class="label nowrap" href="/0813.90111">Zbl 0813.90111</a> <br><a href="/authors/wu.jiahao" title="Author Profile">Wu, Jia Hao</a>; <a href="/authors/florian.michael" title="Author Profile">Florian, Michael</a>; <a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A513283">37</a> </div> </td> <td> <div class="citation_year">1993</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1078.90041">A trust-region method for nonlinear bilevel programming: algorithm and computational experience.</a> <a class="label nowrap" href="/1078.90041">Zbl 1078.90041</a> <br><a href="/authors/colson.benoit" title="Author Profile">Colson, Benoît</a>; <a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; <a href="/authors/savard.gilles" title="Author Profile">Savard, Gilles</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A2198074">36</a> </div> </td> <td> <div class="citation_year">2005</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0798.49014">An extended descent framework for variational inequalities.</a> <a class="label nowrap" href="/0798.49014">Zbl 0798.49014</a> <br><a href="/authors/zhu.daoli" title="Author Profile">Zhu, D. 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L.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5595315">4</a> </div> </td> <td> <div class="citation_year">2009</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1144.90323">New formulations and valid inequalities for a bilevel pricing problem.</a> <a class="label nowrap" href="/1144.90323">Zbl 1144.90323</a> <br><a href="/authors/dewez.sophie" title="Author Profile">Dewez, Sophie</a>; <a href="/authors/labbe.martine-v" title="Author Profile">Labbé, Martine</a>; <a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; <a href="/authors/savard.gilles" title="Author Profile">Savard, Gilles</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5306933">22</a> </div> </td> <td> <div class="citation_year">2008</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1167.90373">Joint design and pricing on a network.</a> <a class="label nowrap" href="/1167.90373">Zbl 1167.90373</a> <br><a href="/authors/brotcorne.luce" title="Author Profile">Brotcorne, Luce</a>; 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<a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; <a href="/authors/savard.gilles" title="Author Profile">Savard, Gilles</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5010096">96</a> </div> </td> <td> <div class="citation_year">2005</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1078.90041">A trust-region method for nonlinear bilevel programming: algorithm and computational experience.</a> <a class="label nowrap" href="/1078.90041">Zbl 1078.90041</a> <br><a href="/authors/colson.benoit" title="Author Profile">Colson, Benoît</a>; <a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; <a href="/authors/savard.gilles" title="Author Profile">Savard, Gilles</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A2198074">36</a> </div> </td> <td> <div class="citation_year">2005</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1072.90004">An approximation algorithm for Stackelberg network pricing.</a> <a class="label nowrap" href="/1072.90004">Zbl 1072.90004</a> <br><a href="/authors/roch.sebastien" title="Author Profile">Roch, Sébastien</a>; <a href="/authors/savard.gilles" title="Author Profile">Savard, Gilles</a>; <a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A2207088">34</a> </div> </td> <td> <div class="citation_year">2005</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1098.90059">Bilevel programming: a combinatorial perspective.</a> <a class="label nowrap" href="/1098.90059">Zbl 1098.90059</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; <a href="/authors/savard.gilles" title="Author Profile">Savard, Gilles</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A2246593">8</a> </div> </td> <td> <div class="citation_year">2005</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1165.90348">A strategic flow model of traffic assignment in static capacitated networks.</a> <a class="label nowrap" href="/1165.90348">Zbl 1165.90348</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; 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L.</a>; <a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A527401">17</a> </div> </td> <td> <div class="citation_year">1993</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0756.90037">Efficient implementation of heuristics for the continuous network design problem.</a> <a class="label nowrap" href="/0756.90037">Zbl 0756.90037</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; <a href="/authors/marquis.gerald" title="Author Profile">Marquis, Gérald</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A34729">16</a> </div> </td> <td> <div class="citation_year">1992</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0762.90090">Novel approaches to the discrimination problem.</a> <a class="label nowrap" href="/0762.90090">Zbl 0762.90090</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, P.</a>; <a href="/authors/savard.gilles" title="Author Profile">Savard, G.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A148997">9</a> </div> </td> <td> <div class="citation_year">1992</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0762.90016">A Newton-SOR method for spatial price equilibrium.</a> <a class="label nowrap" href="/0762.90016">Zbl 0762.90016</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; <a href="/authors/marquis.gerald" title="Author Profile">Marquis, Gérald</a>; <a href="/authors/zubieta.lourdes" title="Author Profile">Zubieta, Lourdes</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A57871">5</a> </div> </td> <td> <div class="citation_year">1992</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0825.90369">Operators-users equilibrium model in a partially regulated transit system.</a> <a class="label nowrap" href="/0825.90369">Zbl 0825.90369</a> <br><a href="/authors/fernandez.enrique-d" title="Author Profile">Fernandez, Enrique</a>; <a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A93699">4</a> </div> </td> <td> <div class="citation_year">1992</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0781.90086">Application of Khobotov’s algorithm to variational inequalities and network equilibrium problems.</a> <a class="label nowrap" href="/0781.90086">Zbl 0781.90086</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A446344">116</a> </div> </td> <td> <div class="citation_year">1991</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0717.90045">A note on the Pareto optimality of solutions to the linear bilevel programming problem.</a> <a class="label nowrap" href="/0717.90045">Zbl 0717.90045</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; <a href="/authors/savard.gilles" title="Author Profile">Savard, Gilles</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4183166">19</a> </div> </td> <td> <div class="citation_year">1991</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0825.90359">A Stackelberg-Nash model for the design of deregulated transit system.</a> <a class="label nowrap" href="/0825.90359">Zbl 0825.90359</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; <a href="/authors/blain.marie" title="Author Profile">Blain, Marie</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A176594">2</a> </div> </td> <td> <div class="citation_year">1991</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0689.90069">A sequential linear programming algorithm for solving monotone variational inequalities.</a> <a class="label nowrap" href="/0689.90069">Zbl 0689.90069</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; <a href="/authors/dussault.jean-pierre" title="Author Profile">Dussault, Jean-Pierre</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4130202">18</a> </div> </td> <td> <div class="citation_year">1989</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0665.65062">Conditions de régularité géométrique pour les inéquations variationnelles. (Conditions of geometric regularity for variational inequalities).</a> <a class="label nowrap" href="/0665.65062">Zbl 0665.65062</a> <br><a href="/authors/dussault.jean-pierre" title="Author Profile">Dussault, Jean-Pierre</a>; <a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4088857">1</a> </div> </td> <td> <div class="citation_year">1989</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0648.90084">Adaptation of a modified Newton method for solving the asymmetric traffic equilibrium problem.</a> <a class="label nowrap" href="/0648.90084">Zbl 0648.90084</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; <a href="/authors/guelat.jacques" title="Author Profile">Guélat, Jacques</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4059146">7</a> </div> </td> <td> <div class="citation_year">1988</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0623.65073">A note on a globally convergent Newton method for solving monotone variational inequalities.</a> <a class="label nowrap" href="/0623.65073">Zbl 0623.65073</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a>; <a href="/authors/dussault.jean-pierre" title="Author Profile">Dussault, Jean-Pierre</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4011814">62</a> </div> </td> <td> <div class="citation_year">1987</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0637.90014">Algorithms for the network oligopoly problem.</a> <a class="label nowrap" href="/0637.90014">Zbl 0637.90014</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4039586">9</a> </div> </td> <td> <div class="citation_year">1987</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0631.90010">A note on Khilnani and Tse’s USA algorithm.</a> <a class="label nowrap" href="/0631.90010">Zbl 0631.90010</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4027135">2</a> </div> </td> <td> <div class="citation_year">1987</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0604.90053">Network design problem with congestion effects: A case of bilevel programming.</a> <a class="label nowrap" href="/0604.90053">Zbl 0604.90053</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3976733">53</a> </div> </td> <td> <div class="citation_year">1986</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0592.90074">Some comments on Wolfe’s ’away step’.</a> <a class="label nowrap" href="/0592.90074">Zbl 0592.90074</a> <br><a href="/authors/guelat.jacques" title="Author Profile">Guélat, Jacques</a>; <a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3952506">48</a> </div> </td> <td> <div class="citation_year">1986</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0587.90043">A game-theoretic approach to network equilibrium.</a> <a class="label nowrap" href="/0587.90043">Zbl 0587.90043</a> <br><a href="/authors/haurie.alain-b" title="Author Profile">Haurie, Alain</a>; <a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3943529">3</a> </div> </td> <td> <div class="citation_year">1986</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0579.90030">On the relationship between Nash-Cournot and Wardrop equilibria.</a> <a class="label nowrap" href="/0579.90030">Zbl 0579.90030</a> <br><a href="/authors/haurie.alain-b" title="Author Profile">Haurie, A.</a>; <a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3928684">55</a> </div> </td> <td> <div class="citation_year">1985</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0545.90011">Quelques notes et résultats nouveaux sur le problème d’équilibre d’un oligopole.</a> <a class="label nowrap" href="/0545.90011">Zbl 0545.90011</a> <br><a href="/authors/marcotte.patrice" title="Author Profile">Marcotte, Patrice</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3869003">2</a> </div> </td> <td> <div class="citation_year">1984</div> </td> </tr> </tbody> </table><div class="more_less"> <a tabindex="0" class="more">all cited Publications <i class="caret"></i></a> <a tabindex="0" class="less">top 5 cited Publications <i class="caret"></i></a> </div></div> <div class="profile"> <div class="facet1st"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3>Cited by 1,925 Authors</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Anoor.muhammad-aslam" title="Citing Publications by this Author">66</a> </td> <td class="text"> <a href="/authors/noor.muhammad-aslam" title="Author Profile"> Noor, Muhammad Aslam </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Amarcotte.patrice" title="Citing Publications by this Author">36</a> </td> <td class="text"> <a href="/authors/marcotte.patrice" title="Author Profile"> Marcotte, Patrice </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Anoor.khalida-inayat" title="Citing Publications by this Author">27</a> </td> <td class="text"> <a href="/authors/noor.khalida-inayat" title="Author Profile"> Noor, Khalida Inayat </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Ashehu.yekini" title="Citing Publications by this Author">23</a> </td> <td class="text"> <a href="/authors/shehu.yekini" title="Author Profile"> Shehu, Yekini </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Asavard.gilles" title="Citing Publications by this Author">22</a> </td> <td class="text"> <a href="/authors/savard.gilles" title="Author Profile"> Savard, Gilles </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Azhu.daoli" title="Citing Publications by this Author">20</a> </td> <td class="text"> <a href="/authors/zhu.daoli" title="Author Profile"> Zhu, Daoli </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Aprokopyev.oleg-alexan" title="Citing Publications by this Author">15</a> </td> <td class="text"> <a href="/authors/prokopyev.oleg-alexan" title="Author Profile"> Prokopyev, Oleg Alexan </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Ayao.jen-chih" title="Citing Publications by this 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title="Author Profile"> Treanţă, Savin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Averma.ram-u" title="Citing Publications by this Author">8</a> </td> <td class="text"> <a href="/authors/verma.ram-u" title="Author Profile"> Verma, Ram U. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Avuong.phan-tu" title="Citing Publications by this Author">8</a> </td> <td class="text"> <a href="/authors/vuong.phan-tu" title="Author Profile"> Vuong, Phan Tu </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Awang.guangmin" title="Citing Publications by this Author">8</a> </td> <td class="text"> <a href="/authors/wang.guangmin" title="Author Profile"> Wang, Guangmin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Abrotcorne.luce" title="Citing Publications by this Author">7</a> </td> <td class="text"> <a href="/authors/brotcorne.luce" title="Author Profile"> Brotcorne, Luce </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Acalvete.herminia-i" title="Citing Publications by this Author">7</a> </td> <td class="text"> <a href="/authors/calvete.herminia-i" title="Author Profile"> Calvete, Herminia I. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Agale.carmen" title="Citing Publications by this Author">7</a> </td> <td class="text"> <a href="/authors/gale.carmen" title="Author Profile"> Galé, Carmen </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Ale-dung-muu." title="Citing Publications by this Author">7</a> </td> <td class="text"> <a href="/authors/le-dung-muu." title="Author Profile"> Lê Dung Muu </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Alodi.andrea" title="Citing Publications by this Author">7</a> </td> <td class="text"> <a href="/authors/lodi.andrea" title="Author Profile"> Lodi, Andrea </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Anemeth.sandor-zoltan" title="Citing Publications by this Author">7</a> </td> <td class="text"> <a href="/authors/nemeth.sandor-zoltan" title="Author Profile"> Németh, Sándor Zoltán </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Apassacantando.mauro" title="Citing Publications by this Author">7</a> </td> <td class="text"> <a href="/authors/passacantando.mauro" title="Author Profile"> Passacantando, Mauro </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+ai%3Astrodiot.jean-jacques" title="Citing Publications by this Author">7</a> </td> <td class="text"> <a href="/authors/strodiot.jean-jacques" title="Author Profile"> Strodiot, Jean-Jacques </a> </td></tr><tr class="more"> <td class="number"> <a 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control <span style="white-space: nowrap;">(93-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A26" title="Citing Publications in this Field">25</a> </td> <td class="text"> <a href="/classification/?q=cc%3A26" title="Mathematics Subject Classification"> Real functions <span style="white-space: nowrap;">(26-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A05" title="Citing Publications in this Field">16</a> </td> <td class="text"> <a href="/classification/?q=cc%3A05" title="Mathematics Subject Classification"> Combinatorics <span style="white-space: nowrap;">(05-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A60" title="Citing Publications in this Field">16</a> </td> <td class="text"> <a href="/classification/?q=cc%3A60" title="Mathematics Subject Classification"> Probability theory and stochastic processes <span style="white-space: nowrap;">(60-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A58" title="Citing Publications in this Field">11</a> </td> <td class="text"> <a href="/classification/?q=cc%3A58" title="Mathematics Subject Classification"> Global analysis, analysis on manifolds <span style="white-space: nowrap;">(58-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A94" title="Citing Publications in this Field">9</a> </td> <td class="text"> <a href="/classification/?q=cc%3A94" title="Mathematics Subject Classification"> Information and communication theory, circuits <span style="white-space: nowrap;">(94-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A46" title="Citing Publications in this Field">8</a> </td> <td class="text"> <a href="/classification/?q=cc%3A46" title="Mathematics Subject Classification"> Functional analysis <span style="white-space: nowrap;">(46-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A35" title="Citing Publications in this Field">7</a> </td> <td class="text"> <a href="/classification/?q=cc%3A35" title="Mathematics Subject Classification"> Partial differential equations <span style="white-space: nowrap;">(35-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A74" title="Citing Publications in this Field">6</a> </td> <td class="text"> <a href="/classification/?q=cc%3A74" title="Mathematics Subject Classification"> Mechanics of deformable solids <span style="white-space: nowrap;">(74-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A92" title="Citing Publications in this Field">6</a> </td> <td class="text"> <a href="/classification/?q=cc%3A92" title="Mathematics Subject Classification"> Biology and other natural sciences <span style="white-space: nowrap;">(92-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A00" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A00" title="Mathematics Subject Classification"> General and overarching topics; collections <span style="white-space: nowrap;">(00-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A03" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A03" title="Mathematics Subject Classification"> Mathematical logic and foundations <span style="white-space: nowrap;">(03-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A15" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A15" title="Mathematics Subject Classification"> Linear and multilinear algebra; matrix theory <span style="white-space: nowrap;">(15-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A34" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A34" title="Mathematics Subject Classification"> Ordinary differential equations <span style="white-space: nowrap;">(34-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A41" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A41" title="Mathematics Subject Classification"> Approximations and expansions <span style="white-space: nowrap;">(41-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A52" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A52" title="Mathematics Subject Classification"> Convex and discrete geometry <span style="white-space: nowrap;">(52-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A54" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A54" title="Mathematics Subject Classification"> General topology <span style="white-space: nowrap;">(54-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A01" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A01" title="Mathematics Subject Classification"> History and biography <span style="white-space: nowrap;">(01-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A14" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A14" title="Mathematics Subject Classification"> Algebraic geometry <span style="white-space: nowrap;">(14-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A17" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A17" title="Mathematics Subject Classification"> Nonassociative rings and algebras <span style="white-space: nowrap;">(17-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A22" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A22" title="Mathematics Subject Classification"> Topological groups, Lie groups <span style="white-space: nowrap;">(22-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A45" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A45" title="Mathematics Subject Classification"> Integral equations <span style="white-space: nowrap;">(45-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A70" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A70" title="Mathematics Subject Classification"> Mechanics of particles and systems <span style="white-space: nowrap;">(70-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Amarcotte.patrice+cc%3A81" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A81" title="Mathematics Subject Classification"> Quantum theory <span style="white-space: nowrap;">(81-XX)</span> </a> </td></tr> </table> </div> <div class="diagram svg-diagram"> <h3>Citations by Year</h3> <div class="diagram ci-diagram" aria-label="citations by year"></div> <style> rect:hover { fill: steelblue; } .axis path, .axis line { fill: none; stroke: #000; shape-rendering: crispEdges; } .bar { fill: steelblue; } a:hover .bar, a:focus .bar { stroke: black; fill-opacity: 60%; } </style> <script> var margin = { top: 20, right: 0, bottom: 30, left: 50 }; var width = 930 - margin.left - margin.right; var height = 150 - margin.top - margin.bottom; var svg = d3.selectAll(".ci-diagram").append("svg") .attr("width", width + margin.left + margin.right) .attr("height", height + margin.top + margin.bottom) .append("g") .attr("transform", "translate(" + margin.left + "," + margin.top + ")"); var data = [{ year:1986, frequency:1 },{ year:1988, frequency:1 },{ year:1989, frequency:3 },{ year:1990, frequency:5 },{ year:1991, frequency:2 },{ year:1992, frequency:6 },{ year:1993, frequency:9 },{ year:1994, frequency:5 },{ year:1995, frequency:12 },{ year:1996, frequency:11 },{ year:1997, frequency:16 },{ year:1998, frequency:10 },{ year:1999, frequency:12 },{ year:2000, frequency:11 },{ year:2001, frequency:16 },{ year:2002, frequency:17 },{ year:2003, frequency:17 },{ year:2004, frequency:24 },{ year:2005, frequency:21 },{ year:2006, frequency:28 },{ year:2007, frequency:49 },{ year:2008, frequency:45 },{ year:2009, frequency:49 },{ year:2010, frequency:43 },{ year:2011, frequency:44 },{ year:2012, frequency:60 },{ year:2013, frequency:39 },{ year:2014, frequency:57 },{ year:2015, frequency:61 },{ year:2016, frequency:67 },{ year:2017, frequency:53 },{ year:2018, frequency:51 },{ year:2019, frequency:65 },{ year:2020, frequency:74 },{ year:2021, frequency:89 },{ year:2022, frequency:86 },{ year:2023, frequency:68 },{ year:2024, frequency:55 },{ year:2025, frequency:7 }]; data.forEach(function(d) { d.year = +d.year; d.frequency = +d.frequency; }); var xScale = d3.scale.ordinal() .rangeRoundBands([0, width], .1); var yScale = d3.scale.linear() .range([height, 0]); // fill if less than 20 years span var zero = d3.max( [ 20 - ( d3.max( data, d => d.year ) + 1 - d3.min( data, d => d.year ) ), 0 ] ); // generate range from min to max xScale.domain( d3.range( d3.min( data, d => d.year ), d3.max( data, d => d.year ) + 1 + zero ) ); yScale.domain( [ 0, d3.max( data, d => d.frequency ) ] ); var xAxis = d3.svg.axis() .scale(xScale) .tickValues( // show ticks every 5 years for range up to 50 years, every 10 // years up to 100 years, and every 20 years above that xScale.domain().filter( function(d, i) { let ticks; if (xScale.domain().length <= 50) { ticks = 5; } else if (xScale.domain().length <= 100) { ticks = 10; } else { ticks = 20; } return !(d % ticks); } ) ) .tickSize(6,3,0) // removes end tick .orient("bottom"); var yAxis = d3.svg.axis() .scale(yScale) .ticks(3) // number of ticks .tickFormat(d3.format("d")) // only integers .tickSize(6,3,0) // removes end tick .orient("left"); svg.selectAll(".bar") .data(data) .enter() .append("a") .attr( "xlink:href", d => "/?q=ra%3Amarcotte.patrice+py%3A" + d.year ) .attr( "title", d => d.frequency + " Citation" + (d.frequency > 1 ? "s" : "") + " in " + d.year ) .append("rect") .attr("class", "bar") .attr("x", d => xScale(d.year)) .attr("width", xScale.rangeBand()) .attr("y", d => yScale(d.frequency)) .attr("height", d => height - yScale(d.frequency)); svg.append("g") .attr("class", "x axis") .attr("transform", "translate(0," + height + ")") .call(xAxis); svg.append("g") .attr("class", "y axis") .call(yAxis) .append("text") .attr("transform", "rotate(-90)") .attr("y", 6) .attr("dy", ".75em") .style("text-anchor", "end") .text(""); </script> </div> </div> </article> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>