Lei Liu - Author Profile

<!doctype html> <html lang="en"> <head> <meta charset="utf-8"> <title>Lei Liu - 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:liu.lei" 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/liu.lei" 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>Liu, Lei</h2> </div> <div class="erdos pull-right"> <a href="/collaboration-distance/?a=liu.lei&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>liu.lei <a target="_blank" href="/atom/ai/liu.lei"><img class="feed-icon" alt="Recent zbMATH articles by "Liu, Lei"" src="/static/feed-icon-14x14.png"></a></td> </tr><tr> <td>Published as:</td> <td><span>Liu, Lei</span></td> </tr> <tr> <td>External Links:</td> <td> <a href="http://orcid.org/0000-0003-3606-122X" title="0000-0003-3606-122X" style="white-space: nowrap;">ORCID</a> · <a href="http://dblp.uni-trier.de/pid/21/2715-13" title="21/2715-13" style="white-space: nowrap;">dblp</a> </td> </tr> </table> </div> <div class="indexed"> <table> <tr> <td>Documents Indexed:</td> <td> <a href="/?q=ia%3Aliu.lei">82 Publications</a> since 2006, including <a href="/?q=ia%3Aliu.lei+dt%3Ap">2 Additional arXiv Preprints</a> </td> </tr> <tr> <td>Co-Authors:</td> <td> <a href="/authors/?q=ai1%3Aliu.lei">56 Co-Authors</a> with <a href="/?q=ai%3Aliu.lei+ai1%3Aliu.lei"> 52 Joint Publications</a> </td> </tr> <tr><td></td><td> <a href="/authors/?q=ai2%3Aliu.lei">3,375 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%3Aliu.lei+na%3A1" title="Single-Authored Publications">1</a> </td> <td class="text">single-authored</td> </tr><tr> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Aliu.lei" title="Joint Publications">52</a> </td> <td class="text"> <a href="/authors/liu.lei" title="Author Profile"> Liu, Lei </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Awang.yongji" title="Joint Publications">13</a> </td> <td class="text"> <a href="/authors/wang.yongji" title="Author Profile"> Wang, Yongji </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Afan.huijin" title="Joint Publications">12</a> </td> <td class="text"> <a href="/authors/fan.huijin" title="Author Profile"> Fan, Huijin </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Awang.bo.27" title="Joint Publications">11</a> </td> <td class="text"> <a href="/authors/wang.bo.27" title="Author Profile"> Wang, Bo </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Acheng.zhongtao" title="Joint Publications">9</a> </td> <td class="text"> <a href="/authors/cheng.zhongtao" title="Author Profile"> Cheng, Zhongtao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Ashen.yi.2" title="Joint Publications">9</a> </td> <td class="text"> <a href="/authors/shen.yi.2" title="Author Profile"> Shen, Yi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Acao.jinde" title="Joint Publications">8</a> </td> <td class="text"> <a href="/authors/cao.jinde" title="Author Profile"> Cao, Jinde </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Afeng.lichao" title="Joint Publications">6</a> </td> <td class="text"> <a href="/authors/feng.lichao" title="Author Profile"> Feng, Lichao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Ajiang.feng" title="Joint Publications">4</a> </td> <td class="text"> <a href="/authors/jiang.feng" title="Author Profile"> Jiang, Feng </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Awu.zhaojing" title="Joint Publications">4</a> </td> <td class="text"> <a href="/authors/wu.zhaojing" title="Author Profile"> Wu, Zhaojing </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Azhu.quanxin" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/zhu.quanxin" title="Author Profile"> Zhu, Quanxin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Aalsaadi.fawaz-e" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/alsaadi.fawaz-e" title="Author Profile"> Alsaadi, Fawaz E. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Aan.binghe" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/an.binghe" title="Author Profile"> An, Binghe </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Adong.shuai" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/dong.shuai" title="Author Profile"> Dong, Shuai </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Afang.xinpeng" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/fang.xinpeng" title="Author Profile"> Fang, Xinpeng </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Ahe.xiuli" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/he.xiuli" title="Author Profile"> He, Xiuli </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Aliu.chen" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/liu.chen" title="Author Profile"> Liu, Chen </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Aou.liuli" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/ou.liuli" title="Author Profile"> Ou, Liuli </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Azhou.lilin" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/zhou.lilin" title="Author Profile"> Zhou, Lilin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Azhu.runyu" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/zhu.runyu" title="Author Profile"> Zhu, Runyu </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Aalsaedi.ahmed" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/alsaedi.ahmed" title="Author Profile"> Al-saedi, Ahmed Eid Salem </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Adong.chunwei" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/dong.chunwei" title="Author Profile"> Dong, Chunwei </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Afu.wenze" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/fu.wenze" title="Author Profile"> Fu, Wenze </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Agao.jiashi" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/gao.jiashi" title="Author Profile"> Gao, Jiashi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Ahan.shaobo" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/han.shaobo" title="Author Profile"> Han, Shaobo </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Ahuang.jian.5" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/huang.jian.5" title="Author Profile"> Huang, Jian </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Ahuang.jiangshuai" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/huang.jiangshuai" title="Author Profile"> Huang, Jiangshuai </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Aju.ping" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/ju.ping" title="Author Profile"> Ju, Ping </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Alei.shunbo" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/lei.shunbo" title="Author Profile"> Lei, Shunbo </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Ali.xu" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/li.xu" title="Author Profile"> Li, Xu </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Ali.zhihong" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/li.zhihong" title="Author Profile"> Li, Zhihong </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Aliu.anlin" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/liu.anlin" title="Author Profile"> Liu, Anlin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Aliu.bing.3" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/liu.bing.3" title="Author Profile"> Liu, Bing </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Aliu.haoran" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/liu.haoran" title="Author Profile"> Liu, Haoran </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Aliu.qiumei" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/liu.qiumei" title="Author Profile"> Liu, Qiumei </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Aliu.yaning" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/liu.yaning" title="Author Profile"> Liu, Yaning </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Aliu.yongxiong" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/liu.yongxiong" title="Author Profile"> Liu, Yongxiong </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Amao.xuerong" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/mao.xuerong" title="Author Profile"> Mao, Xuerong </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Aqian.jin" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/qian.jin" title="Author Profile"> Qian, Jin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Aqiu.jianlong" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/qiu.jianlong" title="Author Profile"> Qiu, Jianlong </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Ari.songhyok" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/ri.songhyok" title="Author Profile"> Ri, Songhyok </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Asu.mao" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/su.mao" title="Author Profile"> Su, Mao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Asun.yonghui" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/sun.yonghui" title="Author Profile"> Sun, Yonghui </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Awang.chao.48" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/wang.chao.48" title="Author Profile"> Wang, Chao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Awang.wei.25" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/wang.wei.25" title="Author Profile"> Wang, Wei </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Awang.zheng.9" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/wang.zheng.9" title="Author Profile"> Wang, Zheng </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Awang.zhi-shen" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/wang.zhi-shen" title="Author Profile"> Wang, Zhi-Shen </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Awu.feng.3" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/wu.feng.3" title="Author Profile"> Wu, Feng </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Awu.zhihui" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/wu.zhihui" title="Author Profile"> Wu, Zhihui </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Axia.li" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/xia.li" title="Author Profile"> Xia, Li </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Axia.xiaohua" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/xia.xiaohua" title="Author Profile"> Xia, Xiaohua </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Axie.fuqiang" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/xie.fuqiang" title="Author Profile"> Xie, Fuqiang </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Axiong.caihua" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/xiong.caihua" title="Author Profile"> Xiong, Caihua </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Axue.changfeng" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/xue.changfeng" title="Author Profile"> Xue, Changfeng </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Ayu.hui.1" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/yu.hui.1" title="Author Profile"> Yu, Hui </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Azhao.dang-jun" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/zhao.dang-jun" title="Author Profile"> Zhao, Dang-Jun </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+ai%3Azheng.kanghua" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/zheng.kanghua" title="Author Profile"> Zheng, Kanghua </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 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href="/serials/?q=se%3A6208" title="Serial Profile"> Nonlinear Analysis. 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Natural Science Edition </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+se%3A7652" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A7652" title="Serial Profile"> Journal of Applied Analysis and Computation </a> </td></tr> </table> </div> <div class="facet3rd"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3>Fields</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ai%3Aliu.lei+cc%3A93" title="Publications in this Field">43</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> <td class="number"> <a href="/?q=ai%3Aliu.lei+cc%3A60" title="Publications in this Field">15</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> <td class="number"> <a href="/?q=ai%3Aliu.lei+cc%3A34" title="Publications in this Field">12</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> <td class="number"> <a href="/?q=ai%3Aliu.lei+cc%3A92" title="Publications in this Field">8</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> <td class="number"> <a href="/?q=ai%3Aliu.lei+cc%3A90" title="Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A90" title="Mathematics Subject Classification"> Operations research, mathematical programming <span style="white-space: nowrap;">(90-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+cc%3A37" title="Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A37" title="Mathematics Subject Classification"> Dynamical systems and ergodic theory <span style="white-space: nowrap;">(37-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+cc%3A65" title="Publications in this Field">2</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 class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+cc%3A49" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A49" title="Mathematics Subject Classification"> Calculus of variations and optimal control; optimization <span style="white-space: nowrap;">(49-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+cc%3A68" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A68" title="Mathematics Subject Classification"> Computer science <span style="white-space: nowrap;">(68-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+cc%3A70" title="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=ai%3Aliu.lei+cc%3A91" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A91" title="Mathematics Subject Classification"> Game theory, economics, finance, and other social and behavioral sciences <span style="white-space: nowrap;">(91-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aliu.lei+cc%3A94" title="Publications in this Field">1</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> </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:2006, frequency:1 },{ year:2011, frequency:3 },{ year:2012, frequency:4 },{ year:2013, frequency:1 },{ year:2014, frequency:4 },{ year:2015, frequency:3 },{ year:2016, frequency:3 },{ year:2017, frequency:2 },{ year:2018, frequency:3 },{ year:2019, frequency:3 },{ year:2020, frequency:7 },{ year:2021, frequency:1 },{ year:2022, frequency:6 },{ year:2023, frequency:9 },{ year:2024, 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%3Aliu.lei+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>39 Publications have been cited 198 times in <a href="/?q=ra%3Aliu.lei">176 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="/1368.93769">The almost sure asymptotic stability and $p$th moment asymptotic stability of nonlinear stochastic differential systems with polynomial growth.</a> <a class="label nowrap" href="/1368.93769">Zbl 1368.93769</a> <br><a href="/authors/liu.lei" title="Author Profile">Liu, Lei</a>; <a href="/authors/shen.yi.2" title="Author Profile">Shen, Yi</a>; <a href="/authors/jiang.feng" title="Author Profile">Jiang, Feng</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6765361">20</a> </div> </td> <td> <div class="citation_year">2011</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/1244.60057">Noise suppresses explosive solutions of differential systems with coefficients satisfying the polynomial growth condition.</a> <a class="label nowrap" href="/1244.60057">Zbl 1244.60057</a> <br><a href="/authors/liu.lei" title="Author Profile">Liu, Lei</a>; <a href="/authors/shen.yi.2" title="Author Profile">Shen, Yi</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6034721">18</a> </div> </td> <td> <div class="citation_year">2012</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/1441.93324">Intermittent stochastic stabilization based on discrete-time observation with time delay.</a> <a class="label nowrap" href="/1441.93324">Zbl 1441.93324</a> <br><a href="/authors/liu.lei" title="Author Profile">Liu, Lei</a>; <a href="/authors/wu.zhaojing" title="Author Profile">Wu, Zhaojing</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7191665">17</a> </div> </td> <td> <div class="citation_year">2020</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/1429.93313">Mean-square exponential input-to-state stability of delayed Cohen-Grossberg neural networks with Markovian switching based on vector Lyapunov functions.</a> <a class="label nowrap" href="/1429.93313">Zbl 1429.93313</a> <br><a href="/authors/li.zhihong" title="Author Profile">Li, Zhihong</a>; <a href="/authors/liu.lei" title="Author Profile">Liu, Lei</a>; <a href="/authors/zhu.quanxin" title="Author Profile">Zhu, Quanxin</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7147618">15</a> </div> </td> <td> <div class="citation_year">2016</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/1221.60084">Taylor approximation of the solutions of stochastic differential delay equations with Poisson jump.</a> <a class="label nowrap" href="/1221.60084">Zbl 1221.60084</a> <br><a href="/authors/jiang.feng" title="Author Profile">Jiang, Feng</a>; <a href="/authors/shen.yi.2" title="Author Profile">Shen, Yi</a>; <a href="/authors/liu.lei" title="Author Profile">Liu, Lei</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5950165">14</a> </div> </td> <td> <div class="citation_year">2011</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1464.34105">Razumikhin-type theorem for stochastic functional differential systems via vector Lyapunov function.</a> <a class="label nowrap" href="/1464.34105">Zbl 1464.34105</a> <br><a href="/authors/liu.lei" title="Author Profile">Liu, Lei</a>; <a href="/authors/mao.xuerong" title="Author Profile">Mao, Xuerong</a>; <a href="/authors/cao.jinde" title="Author Profile">Cao, Jinde</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7096926">11</a> </div> </td> <td> <div class="citation_year">2019</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1238.93118">The asymptotic stability and exponential stability of nonlinear stochastic differential systems with Markovian switching and with polynomial growth.</a> <a class="label nowrap" href="/1238.93118">Zbl 1238.93118</a> <br><a href="/authors/liu.lei" title="Author Profile">Liu, Lei</a>; <a href="/authors/shen.yi.2" title="Author Profile">Shen, Yi</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6030942">10</a> </div> </td> <td> <div class="citation_year">2012</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1371.37141">New criteria on persistence in mean and extinction for stochastic competitive Lotka-Volterra systems with regime switching.</a> <a class="label nowrap" href="/1371.37141">Zbl 1371.37141</a> <br><a href="/authors/liu.lei" title="Author Profile">Liu, Lei</a>; <a href="/authors/shen.yi.2" title="Author Profile">Shen, Yi</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6445415">8</a> </div> </td> <td> <div class="citation_year">2015</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1327.93111">Robust fault-tolerant control of launch vehicle via GPI observer and integral sliding mode control.</a> <a class="label nowrap" href="/1327.93111">Zbl 1327.93111</a> <br><a href="/authors/zhao.dang-jun" title="Author Profile">Zhao, Dang-Jun</a>; <a href="/authors/wang.yongji" title="Author Profile">Wang, Yong-Ji</a>; <a href="/authors/liu.lei" title="Author Profile">Liu, Lei</a>; <a href="/authors/wang.zhi-shen" title="Author Profile">Wang, Zhi-Shen</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6513392">6</a> </div> </td> <td> <div class="citation_year">2013</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1504.93335">Event-triggered scheme for finite-time distributed economic dispatch in smart grids.</a> <a class="label nowrap" href="/1504.93335">Zbl 1504.93335</a> <br><a href="/authors/liu.haoran" title="Author Profile">Liu, Haoran</a>; <a href="/authors/fan.huijin" title="Author Profile">Fan, Huijin</a>; <a href="/authors/wang.bo.27" title="Author Profile">Wang, Bo</a>; <a href="/authors/liu.lei" title="Author Profile">Liu, Lei</a>; <a href="/authors/lei.shunbo" title="Author Profile">Lei, Shunbo</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7635121">5</a> </div> </td> <td> 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title="Author Profile">Liu, Lei</a>; <a href="/authors/alsaedi.ahmed" title="Author Profile">Alsaedi, Ahmed</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7146921">5</a> </div> </td> <td> <div class="citation_year">2019</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1422.92113">Partial permanence and extinction on stochastic Lotka-Volterra competitive systems.</a> <a class="label nowrap" href="/1422.92113">Zbl 1422.92113</a> <br><a href="/authors/dong.chunwei" title="Author Profile">Dong, Chunwei</a>; <a href="/authors/liu.lei" title="Author Profile">Liu, Lei</a>; <a href="/authors/sun.yonghui" title="Author Profile">Sun, Yonghui</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7021499">5</a> </div> </td> <td> <div class="citation_year">2015</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1303.93149">The almost sure asymptotic stability and $p$th moment asymptotic stability of nonlinear stochastic delay 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href="/1238.93118">The asymptotic stability and exponential stability of nonlinear stochastic differential systems with Markovian switching and with polynomial growth.</a> <a class="label nowrap" href="/1238.93118">Zbl 1238.93118</a> <br><a href="/authors/liu.lei" title="Author Profile">Liu, Lei</a>; <a href="/authors/shen.yi.2" title="Author Profile">Shen, Yi</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6030942">10</a> </div> </td> <td> <div class="citation_year">2012</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1303.93149">The almost sure asymptotic stability and $p$th moment asymptotic stability of nonlinear stochastic delay differential systems with polynomial growth.</a> <a class="label nowrap" href="/1303.93149">Zbl 1303.93149</a> <br><a href="/authors/liu.lei" title="Author Profile">Liu, Lei</a>; <a href="/authors/shen.yi.2" title="Author Profile">Shen, Yi</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6385703">5</a> 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</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 380 Authors</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Aliu.lei" title="Citing Publications by this Author">15</a> </td> <td class="text"> <a href="/authors/liu.lei" title="Author Profile"> Liu, Lei </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Azhu.quanxin" title="Citing Publications by this Author">13</a> </td> <td class="text"> <a href="/authors/zhu.quanxin" title="Author Profile"> Zhu, Quanxin </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Amao.xuerong" title="Citing Publications by this Author">11</a> </td> <td class="text"> <a href="/authors/mao.xuerong" title="Author Profile"> Mao, Xuerong </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Acao.jinde" title="Citing Publications by this Author">9</a> </td> <td class="text"> <a href="/authors/cao.jinde" title="Author Profile"> Cao, Jinde </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Afeng.lichao" title="Citing Publications by this Author">9</a> </td> <td class="text"> <a href="/authors/feng.lichao" title="Author Profile"> Feng, Lichao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Amao.wei.1" title="Citing Publications by this Author">7</a> </td> <td class="text"> <a href="/authors/mao.wei.1" title="Author Profile"> Mao, Wei </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Adeng.feiqi" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/deng.feiqi" title="Author Profile"> Deng, Feiqi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Azhu.song" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/zhu.song" title="Author Profile"> Zhu, Song </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Ahu.liangjian" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/hu.liangjian" title="Author Profile"> Hu, Liangjian </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Ajiang.feng" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/jiang.feng" title="Author Profile"> Jiang, Feng </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Ajiang.yanan" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/jiang.yanan" title="Author Profile"> Jiang, Yanan </a> </td></tr><tr class="more"> <td class="number"> <a 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this Author">3</a> </td> <td class="text"> <a href="/authors/cao.wenping" title="Author Profile"> Cao, Wenping </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Ajiang.daqing" title="Citing Publications by this Author">3</a> </td> <td class="text"> <a href="/authors/jiang.daqing" title="Author Profile"> Jiang, Daqing </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Ali.shoumei" title="Citing Publications by this Author">3</a> </td> <td class="text"> <a href="/authors/li.shoumei" title="Author Profile"> Li, Shoumei </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Aliu.zhijun.1" title="Citing Publications by this Author">3</a> </td> <td class="text"> <a href="/authors/liu.zhijun.1" title="Author Profile"> Liu, Zhijun </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Awu.zhaojing" title="Citing Publications by this Author">3</a> </td> <td class="text"> <a href="/authors/wu.zhaojing" title="Author Profile"> Wu, Zhaojing </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Azhang.qimin" title="Citing Publications by this Author">3</a> </td> <td class="text"> <a href="/authors/zhang.qimin" title="Author Profile"> Zhang, Qimin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Aalsaedi.ahmed" title="Citing Publications by this Author">2</a> </td> <td class="text"> <a href="/authors/alsaedi.ahmed" title="Author Profile"> Al-saedi, Ahmed Eid Salem </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Achen.dongyan" title="Citing Publications by this Author">2</a> </td> <td class="text"> <a href="/authors/chen.dongyan" title="Author Profile"> Chen, Dongyan </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Achen.huabin" title="Citing Publications by this Author">2</a> </td> <td class="text"> <a href="/authors/chen.huabin" 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Publications by this Author">2</a> </td> <td class="text"> <a href="/authors/lu.qingguo" title="Author Profile"> Lü, Qingguo </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Aluo.weiwei" title="Citing Publications by this Author">2</a> </td> <td class="text"> <a href="/authors/luo.weiwei" title="Author Profile"> Luo, Weiwei </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Aribarski.panche" title="Citing Publications by this Author">2</a> </td> <td class="text"> <a href="/authors/ribarski.panche" title="Author Profile"> Ribarski, Panche </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Asu.huan" title="Citing Publications by this Author">2</a> </td> <td class="text"> <a href="/authors/su.huan" title="Author Profile"> Su, Huan </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Asun.kaili" title="Citing Publications by this Author">2</a> </td> <td class="text"> <a href="/authors/sun.kaili" title="Author Profile"> Sun, Kaili </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Atan.ronghua" title="Citing Publications by this Author">2</a> </td> <td class="text"> <a href="/authors/tan.ronghua" title="Author Profile"> Tan, Ronghua </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Atian.bailing" title="Citing Publications by this Author">2</a> </td> <td class="text"> <a href="/authors/tian.bailing" title="Author Profile"> Tian, Bailing </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Atojtovska.biljana" title="Citing Publications by this Author">2</a> </td> <td class="text"> <a href="/authors/tojtovska.biljana" title="Author Profile"> Tojtovska, Biljana </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Awang.lianwen.1" title="Citing Publications by this Author">2</a> </td> <td class="text"> <a href="/authors/wang.lianwen.1" title="Author Profile"> Wang, Lianwen </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Awang.pengfei.3" title="Citing Publications by this Author">2</a> </td> <td class="text"> <a href="/authors/wang.pengfei.3" title="Author Profile"> Wang, Pengfei </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Awu.kaining" title="Citing Publications by this Author">2</a> </td> <td class="text"> <a href="/authors/wu.kaining" title="Author Profile"> Wu, Kaining </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Ayang.qiqi" title="Citing Publications by this Author">2</a> </td> <td class="text"> <a href="/authors/yang.qiqi" title="Author Profile"> Yang, Qiqi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+ai%3Aye.lixia" title="Citing Publications by this Author">2</a> </td> <td class="text"> <a href="/authors/ye.lixia" title="Author Profile"> 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E. Journal of Theoretical Economics </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+se%3A6886" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A6886" title="Serial Profile"> Science China. Mathematics </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+se%3A7351" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A7351" title="Serial Profile"> Numerical Algebra, Control and Optimization </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+se%3A8241" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A8241" title="Serial Profile"> The Scientific World Journal. Probability and Statistics </a> </td></tr> </table> </div> <div class="facet3rd"><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 in 21 Fields</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ra%3Aliu.lei+cc%3A93" title="Citing Publications in this Field">127</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> <td class="number"> <a href="/?q=ra%3Aliu.lei+cc%3A60" title="Citing Publications in this Field">64</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> <td class="number"> <a href="/?q=ra%3Aliu.lei+cc%3A34" title="Citing Publications in this Field">54</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> <td class="number"> <a href="/?q=ra%3Aliu.lei+cc%3A92" title="Citing Publications in this Field">24</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> <td class="number"> <a href="/?q=ra%3Aliu.lei+cc%3A65" title="Citing Publications in this Field">13</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 class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+cc%3A37" title="Citing Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A37" title="Mathematics Subject Classification"> Dynamical systems and ergodic theory <span style="white-space: nowrap;">(37-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+cc%3A90" title="Citing Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A90" title="Mathematics Subject Classification"> Operations research, mathematical programming <span style="white-space: nowrap;">(90-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+cc%3A49" title="Citing Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A49" title="Mathematics Subject Classification"> Calculus of variations and optimal control; optimization <span style="white-space: nowrap;">(49-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+cc%3A62" title="Citing Publications in this Field">4</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=ra%3Aliu.lei+cc%3A68" title="Citing Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A68" title="Mathematics Subject Classification"> Computer science <span style="white-space: nowrap;">(68-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+cc%3A91" title="Citing Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A91" title="Mathematics Subject Classification"> Game theory, economics, finance, and other social and behavioral sciences <span style="white-space: nowrap;">(91-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+cc%3A39" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A39" title="Mathematics Subject Classification"> Difference and functional equations <span style="white-space: nowrap;">(39-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+cc%3A35" title="Citing Publications in this Field">2</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%3Aliu.lei+cc%3A70" title="Citing Publications in this Field">2</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%3Aliu.lei+cc%3A00" title="Citing Publications in this Field">1</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%3Aliu.lei+cc%3A03" title="Citing Publications in this Field">1</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%3Aliu.lei+cc%3A05" title="Citing Publications in this Field">1</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%3Aliu.lei+cc%3A26" title="Citing Publications in this Field">1</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%3Aliu.lei+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%3Aliu.lei+cc%3A82" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A82" title="Mathematics Subject Classification"> Statistical mechanics, structure of matter <span style="white-space: nowrap;">(82-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aliu.lei+cc%3A94" title="Citing Publications in this Field">1</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> </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:2011, frequency:2 },{ year:2012, frequency:5 },{ year:2013, frequency:3 },{ year:2014, frequency:9 },{ year:2015, frequency:10 },{ year:2016, frequency:8 },{ year:2017, frequency:6 },{ year:2018, frequency:11 },{ year:2019, frequency:15 },{ year:2020, frequency:21 },{ year:2021, frequency:16 },{ year:2022, frequency:18 },{ year:2023, frequency:17 },{ year:2024, frequency:29 },{ year:2025, frequency:6 }]; 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%3Aliu.lei+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>

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