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Svante Janson - Wikipedia

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data-event-name="pinnable-header.vector-toc.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">hide</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">(Top)</div> </a> </li> <li id="toc-Biography" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Biography"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Biography</span> </div> </a> <button aria-controls="toc-Biography-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Biography subsection</span> </button> <ul id="toc-Biography-sublist" class="vector-toc-list"> <li id="toc-From_prodigy_to_docent" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#From_prodigy_to_docent"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>From prodigy to docent</span> </div> </a> <ul id="toc-From_prodigy_to_docent-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Professorships" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Professorships"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Professorships</span> </div> </a> <ul id="toc-Professorships-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Awards" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Awards"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Awards</span> </div> </a> <ul id="toc-Awards-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Works_by_Janson" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Works_by_Janson"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Works by Janson</span> </div> </a> <button aria-controls="toc-Works_by_Janson-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Works by Janson subsection</span> </button> <ul id="toc-Works_by_Janson-sublist" class="vector-toc-list"> <li id="toc-Books" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Books"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Books</span> </div> </a> <ul id="toc-Books-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Selected_articles" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Selected_articles"> 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</div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Svante Janson</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. 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dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Swedish mathematician</div> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="fn">Svante Janson</div></th></tr><tr><td colspan="2" class="infobox-image"><span typeof="mw:File"><a href="/wiki/File:Svante-Jansson-portrait.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/31/Svante-Jansson-portrait.jpg/160px-Svante-Jansson-portrait.jpg" decoding="async" width="160" height="240" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/31/Svante-Jansson-portrait.jpg/240px-Svante-Jansson-portrait.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/3/31/Svante-Jansson-portrait.jpg 2x" data-file-width="320" data-file-height="480" /></a></span><div class="infobox-caption">Svante Janson</div></td></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><span style="display:none"> (<span class="bday">1955-05-21</span>) </span>21 May 1955<span class="noprint ForceAgeToShow"> (age&#160;69)</span></td></tr><tr><th scope="row" class="infobox-label">Citizenship</th><td class="infobox-data category"><a href="/wiki/Sweden" title="Sweden">Swedish</a></td></tr><tr><th scope="row" class="infobox-label">Alma&#160;mater</th><td class="infobox-data"><a href="/wiki/Uppsala_University" title="Uppsala University">Uppsala University</a></td></tr><tr><th scope="row" class="infobox-label">Known&#160;for</th><td class="infobox-data"><a href="/wiki/Janson%27s_inequality" class="mw-redirect" title="Janson&#39;s inequality">Janson's inequality</a><sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> (<a href="/wiki/Probability_theory" title="Probability theory">probability</a>) <br /> <a href="/wiki/Random_graph" title="Random graph">Random graphs</a> (<a href="/wiki/Wassily_Hoeffding" title="Wassily Hoeffding">Hoeffding&#160;decomposition</a> &amp; <a href="/wiki/U-statistic" title="U-statistic">U-statistics</a>) <br /> "Birth of the giant component" (with coauthors)</td></tr><tr><th scope="row" class="infobox-label">Awards</th><td class="infobox-data"><a href="/wiki/Royal_Swedish_Academy_of_Sciences" title="Royal Swedish Academy of Sciences">Royal Swedish Academy of Sciences</a> (KVA)<br /> 1978 Sparre Award (KVA) <br /> Royal Scientific Society of Uppsala<br /> 1994 Göran Gustafsson prize <br /> 2009 Gårding prize (Royal Physiological Society, <a href="/wiki/Lund,_Sweden" class="mw-redirect" title="Lund, Sweden">Lund</a>)</td></tr><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><b>Scientific career</b></td></tr><tr><th scope="row" class="infobox-label">Fields</th><td class="infobox-data category"><a href="/wiki/Mathematical_analysis" title="Mathematical analysis">Mathematical analysis</a> <br /> <a href="/wiki/Mathematical_statistics" title="Mathematical statistics">Mathematical statistics</a></td></tr><tr><th scope="row" class="infobox-label">Institutions</th><td class="infobox-data"><a href="/wiki/Uppsala_University" title="Uppsala University">Uppsala University</a> (1980–1984, 1985–present) <br /> <a href="/wiki/Mittag-Leffler_Institute" title="Mittag-Leffler Institute">Mittag-Leffler Institute</a> (1978–1980) <br /> <a href="/wiki/University_of_Chicago" title="University of Chicago">University of Chicago</a> (1980–1981) <br /> <a href="/wiki/Stockholm_University" title="Stockholm University">Stockholm University</a> (1984–1985)</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Doctoral_advisor" title="Doctoral advisor">Doctoral advisor</a></th><td class="infobox-data"><a href="/wiki/Lennart_Carleson" title="Lennart Carleson">Lennart Carleson</a> (<a href="/wiki/Mathematics" title="Mathematics">mathematics</a>, 1977)<br /> <a href="/wiki/Carl-Gustav_Esseen" title="Carl-Gustav Esseen">Carl-Gustav Esseen</a> (<a href="/wiki/Mathematical_statistics" title="Mathematical statistics">mathematical statistics</a>, 1984)</td></tr><tr style="display:none"><td colspan="2"> </td></tr></tbody></table> <p><b>Carl Svante Janson</b><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> (born 21 May 1955) is a <a href="/wiki/Swedish_people" class="mw-redirect" title="Swedish people">Swedish</a> <a href="/wiki/Mathematician" title="Mathematician">mathematician</a>. A member of the <a href="/wiki/Royal_Swedish_Academy_of_Sciences" title="Royal Swedish Academy of Sciences">Royal Swedish Academy of Sciences</a> since 1994, Janson has been the chaired <a href="/wiki/Professor#Main_positions_2" title="Professor">professor</a> of mathematics at <a href="/wiki/Uppsala_University" title="Uppsala University">Uppsala University</a> since 1987. </p><p>In <a href="/wiki/Mathematical_analysis" title="Mathematical analysis">mathematical analysis</a>, Janson has publications in <a href="/wiki/Functional_analysis" title="Functional analysis">functional analysis</a> (especially <a href="/wiki/Harmonic_analysis" title="Harmonic analysis">harmonic analysis</a>) and <a href="/wiki/Probability_theory" title="Probability theory">probability theory</a>. In <a href="/wiki/Mathematical_statistics" title="Mathematical statistics">mathematical statistics</a>, Janson has made contributions to the theory of <a href="/wiki/U-statistic" title="U-statistic">U-statistics</a>.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> In <a href="/wiki/Combinatorics" title="Combinatorics">combinatorics</a>, Janson has publications in <a href="/wiki/Probabilistic_combinatorics" class="mw-redirect" title="Probabilistic combinatorics">probabilistic combinatorics</a>, particularly <a href="/wiki/Random_graph" title="Random graph">random graphs</a> and in the <a href="/wiki/Analysis_of_algorithms" title="Analysis of algorithms">analysis of algorithms</a>: In the study of random graphs, Janson introduced U-statistics and the <a href="/wiki/Wassily_Hoeffding" title="Wassily Hoeffding">Hoeffding</a> decomposition.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Biography">Biography</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Svante_Janson&amp;action=edit&amp;section=1" title="Edit section: Biography"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Svante Janson has already had a long career in mathematics, because he started research at a very young age. </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Carleson_cropped.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/78/Carleson_cropped.jpg/170px-Carleson_cropped.jpg" decoding="async" width="170" height="237" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/7/78/Carleson_cropped.jpg 1.5x" data-file-width="212" data-file-height="296" /></a><figcaption><a href="/wiki/Lennart_Carleson" title="Lennart Carleson">Lennart Carleson</a> was the <a href="/wiki/Doctoral_advisor" title="Doctoral advisor">doctoral supervisor</a> of Svante Janson, who received his Ph.D. on his 22nd birthday.<sup id="cite_ref-CV_6-0" class="reference"><a href="#cite_note-CV-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> Carleson had himself received his Ph.D. when he was 22 years old.<sup id="cite_ref-Carleson_7-0" class="reference"><a href="#cite_note-Carleson-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup></figcaption></figure> <div class="mw-heading mw-heading3"><h3 id="From_prodigy_to_docent">From prodigy to docent</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Svante_Janson&amp;action=edit&amp;section=2" title="Edit section: From prodigy to docent"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A <a href="/wiki/Child_prodigy" title="Child prodigy">child prodigy</a> in mathematics, Janson took high-school and even university classes while in primary school. He was <a href="/wiki/University_admission" class="mw-redirect" title="University admission">admitted</a> in 1968 to <a href="/wiki/Gothenburg_University" class="mw-redirect" title="Gothenburg University">Gothenburg University</a> at age 12. After his 1968 <a href="/wiki/Matriculation#United_States" title="Matriculation">matriculation</a> at Uppsala University at age 13,<sup id="cite_ref-CV_6-1" class="reference"><a href="#cite_note-CV-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> Janson obtained the following degrees in mathematics: a "candidate of philosophy" (roughly an "<a href="/wiki/Honours_degree" title="Honours degree">honours</a>" <a href="/wiki/B.S._degree" class="mw-redirect" title="B.S. degree">B.S.</a> with a thesis) at age 14 (in 1970) and a <a href="/wiki/Ph.D." class="mw-redirect" title="Ph.D.">doctor of philosophy</a> at age 21–22 (in 1977). Janson's Ph.D. was awarded on his 22nd birthday.<sup id="cite_ref-CV_6-2" class="reference"><a href="#cite_note-CV-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> Janson's <a href="/wiki/Doctoral_dissertation" class="mw-redirect" title="Doctoral dissertation">doctoral dissertation</a> was <a href="/wiki/Doctoral_advisor" title="Doctoral advisor">supervised</a> by <a href="/wiki/Lennart_Carleson" title="Lennart Carleson">Lennart Carleson</a>,<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">&#91;</span>8<span class="cite-bracket">&#93;</span></a></sup> who had himself received his doctoral degree when he was 22 years old.<sup id="cite_ref-Carleson2_9-0" class="reference"><a href="#cite_note-Carleson2-9"><span class="cite-bracket">&#91;</span>9<span class="cite-bracket">&#93;</span></a></sup> </p><p>After having earned his doctorate, Janson was a <a href="/wiki/Postdoc" class="mw-redirect" title="Postdoc">postdoc</a> with the <a href="/wiki/Mittag-Leffler_Institute" title="Mittag-Leffler Institute">Mittag-Leffler Institute</a> from 1978 to 1980. Thereafter he worked at Uppsala University. Janson's ongoing research earned him another PhD from Uppsala University in 1984 – this second doctoral degree being in <a href="/wiki/Mathematical_statistics" title="Mathematical statistics">mathematical statistics</a>;<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">&#91;</span>10<span class="cite-bracket">&#93;</span></a></sup> the <a href="/wiki/Doctoral_advisor" title="Doctoral advisor">supervisor</a> was <a href="/wiki/Carl-Gustav_Esseen" title="Carl-Gustav Esseen">Carl-Gustav Esseen</a>.<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">&#91;</span>11<span class="cite-bracket">&#93;</span></a></sup> </p><p>In 1984, Janson was hired by <a href="/wiki/Stockholm_University" title="Stockholm University">Stockholm University</a> as <a href="/wiki/Docent#Northern_Europe" title="Docent">docent</a> (roughly <a href="/wiki/Associate_professor" title="Associate professor">associate professor</a> in the USA).<sup id="cite_ref-CV_6-3" class="reference"><a href="#cite_note-CV-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Professorships">Professorships</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Svante_Janson&amp;action=edit&amp;section=3" title="Edit section: Professorships"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In 1985 Janson returned to Uppsala University, where he was named <a href="/wiki/Professor#Main_positions_2" title="Professor">the chaired professor</a> in <a href="/wiki/Mathematical_statistics" title="Mathematical statistics">mathematical statistics</a>. In 1987 Janson became <a href="/wiki/Professor#Main_positions_2" title="Professor">the chaired professor</a> of mathematics at Uppsala university.<sup id="cite_ref-CV_6-4" class="reference"><a href="#cite_note-CV-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> Traditionally in Sweden, the <i>chaired professor</i> has had the role of a "<i><a href="/wiki/Professor#Main_positions_2" title="Professor">professor ordinarius</a></i>" in a <a href="/wiki/German_university" class="mw-redirect" title="German university">German university</a> (roughly combining the roles of research professor and director of graduate studies at a <a href="/wiki/Research_university" title="Research university">research university</a> in the USA). </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Persi_Diaconis_2010.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d3/Persi_Diaconis_2010.jpg/220px-Persi_Diaconis_2010.jpg" decoding="async" width="220" height="228" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d3/Persi_Diaconis_2010.jpg/330px-Persi_Diaconis_2010.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d3/Persi_Diaconis_2010.jpg/440px-Persi_Diaconis_2010.jpg 2x" data-file-width="1816" data-file-height="1884" /></a><figcaption>Statistician <a href="/wiki/Persi_Diaconis" title="Persi Diaconis">Persi Diaconis</a> has collaborated with Svante Janson on the study of <a href="/wiki/Exchangeable_random_variables" title="Exchangeable random variables">exchangeable</a> <a href="/wiki/Random_graph" title="Random graph">random graphs</a>.<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">&#91;</span>12<span class="cite-bracket">&#93;</span></a></sup></figcaption></figure> <div class="mw-heading mw-heading2"><h2 id="Awards">Awards</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Svante_Janson&amp;action=edit&amp;section=4" title="Edit section: Awards"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Besides being a member of the <a href="/wiki/Royal_Swedish_Academy_of_Sciences" title="Royal Swedish Academy of Sciences">Royal Swedish Academy of Sciences</a> (KVA), Svante Janson is a member of the <a href="/wiki/Royal_Society_of_Sciences_in_Uppsala" title="Royal Society of Sciences in Uppsala">Royal Society of Sciences in Uppsala</a>. His thesis received the 1978 Sparre Award from the KVA. He received the 1994 Swedish medal for the best young mathematical scientist, the <a href="/wiki/G%C3%B6ran_Gustafsson_Prize" class="mw-redirect" title="Göran Gustafsson Prize">Göran Gustafsson Prize</a>. Janson's former <a href="/wiki/Doctoral_advisor" title="Doctoral advisor">doctoral student</a>, Ola Hössjer, received the Göran Gustafsson prize in 2009, becoming the first <a href="/wiki/Statistician" title="Statistician">statistician</a> so honored.<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">&#91;</span>13<span class="cite-bracket">&#93;</span></a></sup> </p><p>In December 2009, Janson received the <a href="/wiki/Lars_G%C3%A5rding" title="Lars Gårding">Eva &amp; Lars Gårding</a> prize from the <a href="/wiki/Royal_Physiographic_Society_in_Lund" title="Royal Physiographic Society in Lund">Royal Physiographic Society in Lund</a>.<sup id="cite_ref-CV_6-5" class="reference"><a href="#cite_note-CV-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> In 2021, Janson received the <a href="/wiki/Flajolet_Lecture_Prize" title="Flajolet Lecture Prize">Flajolet Lecture Prize</a>. He will deliver the Flajolet Lecture at the 2022 <a href="/wiki/AofA%E2%80%94International_Meeting_on_Combinatorial,_Probabilistic,_and_Asymptotic_Methods_in_the_Analysis_of_Algorithms" title="AofA—International Meeting on Combinatorial, Probabilistic, and Asymptotic Methods in the Analysis of Algorithms">AofA</a> conference. </p> <div class="mw-heading mw-heading2"><h2 id="Works_by_Janson">Works by Janson</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Svante_Janson&amp;action=edit&amp;section=5" title="Edit section: Works by Janson"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Books">Books</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Svante_Janson&amp;action=edit&amp;section=6" title="Edit section: Books"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFBarbourHolstJanson1992" class="citation book cs1">Barbour, A.&#160;D.; Holst, Lars; Janson, Svante (1992). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=TA3vAAAAMAAJ"><i>Poisson Approximation</i></a>. Oxford,&#160;UK: <a href="/wiki/Oxford_University_Press" title="Oxford University Press">Oxford University Press</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/0-19-852235-5" title="Special:BookSources/0-19-852235-5"><bdi>0-19-852235-5</bdi></a>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a>&#160;<a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=1163825">1163825</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Poisson+Approximation&amp;rft.place=Oxford%2C+UK&amp;rft.pub=Oxford+University+Press&amp;rft.date=1992&amp;rft.isbn=0-19-852235-5&amp;rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D1163825%23id-name%3DMR&amp;rft.aulast=Barbour&amp;rft.aufirst=A.+D.&amp;rft.au=Holst%2C+Lars&amp;rft.au=Janson%2C+Svante&amp;rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DTA3vAAAAMAAJ&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFJanson1994" class="citation journal cs1">Janson, Svante (1994). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=joFK_G-cyUwC">"Orthogonal decompositions and functional limit theorems for random graph statistics"</a>. <i>Memoirs of the American Mathematical Society</i>. <b>111</b> (534). Providence, Rhode Island: <a href="/wiki/American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a>: vi+78. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1090%2Fmemo%2F0534">10.1090/memo/0534</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/0-8218-2595-X" title="Special:BookSources/0-8218-2595-X"><bdi>0-8218-2595-X</bdi></a>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a>&#160;<a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=1219708">1219708</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Memoirs+of+the+American+Mathematical+Society&amp;rft.atitle=Orthogonal+decompositions+and+functional+limit+theorems+for+random+graph+statistics&amp;rft.volume=111&amp;rft.issue=534&amp;rft.pages=vi%2B78&amp;rft.date=1994&amp;rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D1219708%23id-name%3DMR&amp;rft_id=info%3Adoi%2F10.1090%2Fmemo%2F0534&amp;rft.isbn=0-8218-2595-X&amp;rft.aulast=Janson&amp;rft.aufirst=Svante&amp;rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DjoFK_G-cyUwC&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFJanson1997" class="citation book cs1">Janson, Svante (1997). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=heCzfIclio0C&amp;q=Svante+Janson"><i>Gaussian Hilbert spaces</i></a>. Cambridge Tracts in Mathematics. Vol.&#160;129. Cambridge: Cambridge University Press. pp.&#160;x, 340. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/0-521-56128-0" title="Special:BookSources/0-521-56128-0"><bdi>0-521-56128-0</bdi></a>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a>&#160;<a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=1474726">1474726</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Gaussian+Hilbert+spaces&amp;rft.place=Cambridge&amp;rft.series=Cambridge+Tracts+in+Mathematics&amp;rft.pages=x%2C+340&amp;rft.pub=Cambridge+University+Press&amp;rft.date=1997&amp;rft.isbn=0-521-56128-0&amp;rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D1474726%23id-name%3DMR&amp;rft.aulast=Janson&amp;rft.aufirst=Svante&amp;rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DheCzfIclio0C%26q%3DSvante%2BJanson&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFJansonŁuczakRucinski2000" class="citation book cs1">Janson, Svante; Łuczak, Tomasz; Rucinski, Andrzej (2000). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=0bTvAAAAMAAJ&amp;q=related:ISBN%200-8218-2595-X"><i>Random graphs</i></a>. Wiley-Interscience Series in Discrete Mathematics and Optimization. New York: Wiley-Interscience. pp.&#160;xii+333. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/0-471-17541-2" title="Special:BookSources/0-471-17541-2"><bdi>0-471-17541-2</bdi></a>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a>&#160;<a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=1782847">1782847</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Random+graphs&amp;rft.place=New+York&amp;rft.series=Wiley-Interscience+Series+in+Discrete+Mathematics+and+Optimization&amp;rft.pages=xii%2B333&amp;rft.pub=Wiley-Interscience&amp;rft.date=2000&amp;rft.isbn=0-471-17541-2&amp;rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D1782847%23id-name%3DMR&amp;rft.aulast=Janson&amp;rft.aufirst=Svante&amp;rft.au=%C5%81uczak%2C+Tomasz&amp;rft.au=Rucinski%2C+Andrzej&amp;rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3D0bTvAAAAMAAJ%26q%3Drelated%3A&#73;SBN%25200-8218-2595-X&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></li></ul> <div class="mw-heading mw-heading3"><h3 id="Selected_articles">Selected articles</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Svante_Janson&amp;action=edit&amp;section=7" title="Edit section: Selected articles"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFJanson1990" class="citation journal cs1">Janson, Svante (1990). "Poisson approximation for large deviations". <i>Random Structures and Algorithms</i>. <b>1</b> (2): 221–229. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1002%2Frsa.3240010209">10.1002/rsa.3240010209</a>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a>&#160;<a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=1138428">1138428</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Random+Structures+and+Algorithms&amp;rft.atitle=Poisson+approximation+for+large+deviations&amp;rft.volume=1&amp;rft.issue=2&amp;rft.pages=221-229&amp;rft.date=1990&amp;rft_id=info%3Adoi%2F10.1002%2Frsa.3240010209&amp;rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D1138428%23id-name%3DMR&amp;rft.aulast=Janson&amp;rft.aufirst=Svante&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span> (Janson's inequality)</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFJansonKnuthLuczakPittel1993" class="citation journal cs1">Janson, Svante; <a href="/wiki/Donald_Knuth" title="Donald Knuth">Knuth, Donald&#160;E.</a>; Luczak, Tomasz; Pittel, Boris (1993). "The birth of the giant component". <i>Random Structures and Algorithms</i>. <b>4</b> (3): 231–358. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/math/9310236">math/9310236</a></span>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1002%2Frsa.3240040303">10.1002/rsa.3240040303</a>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a>&#160;<a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=1220220">1220220</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:206454812">206454812</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Random+Structures+and+Algorithms&amp;rft.atitle=The+birth+of+the+giant+component&amp;rft.volume=4&amp;rft.issue=3&amp;rft.pages=231-358&amp;rft.date=1993&amp;rft_id=info%3Aarxiv%2Fmath%2F9310236&amp;rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D1220220%23id-name%3DMR&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A206454812%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1002%2Frsa.3240040303&amp;rft.aulast=Janson&amp;rft.aufirst=Svante&amp;rft.au=Knuth%2C+Donald+E.&amp;rft.au=Luczak%2C+Tomasz&amp;rft.au=Pittel%2C+Boris&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFJansonNowicki1991" class="citation journal cs1">Janson, Svante; Nowicki, Krzysztof (1991). <a rel="nofollow" class="external text" href="https://doi.org/10.1007%2FBF01193750">"The asymptotic distributions of generalized <i>U</i>-statistics with applications to random graphs"</a>. <i>Probability Theory and Related Fields</i>. <b>90</b> (3): 341–375. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1007%2FBF01193750">10.1007/BF01193750</a></span>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a>&#160;<a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=1133371">1133371</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:120249197">120249197</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Probability+Theory+and+Related+Fields&amp;rft.atitle=The+asymptotic+distributions+of+generalized+U-statistics+with+applications+to+random+graphs&amp;rft.volume=90&amp;rft.issue=3&amp;rft.pages=341-375&amp;rft.date=1991&amp;rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D1133371%23id-name%3DMR&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A120249197%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1007%2FBF01193750&amp;rft.aulast=Janson&amp;rft.aufirst=Svante&amp;rft.au=Nowicki%2C+Krzysztof&amp;rft_id=https%3A%2F%2Fdoi.org%2F10.1007%252FBF01193750&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Svante_Janson&amp;action=edit&amp;section=8" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFAlonSpencer2008" class="citation book cs1"><a href="/wiki/Noga_Alon" title="Noga Alon">Alon, Noga</a>; <a href="/wiki/Joel_Spencer" title="Joel Spencer">Spencer, Joel</a> (2008). <i>The probabilistic method</i>. Wiley-Interscience Series in Discrete Mathematics and Optimization (third&#160;ed.). Hoboken, NJ: John Wiley and Sons. pp.&#160;87, 110, 115–119, 120–121, 123, 128, 157–148, 160 (Second edition). <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-0-470-17020-5" title="Special:BookSources/978-0-470-17020-5"><bdi>978-0-470-17020-5</bdi></a>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a>&#160;<a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=2437651">2437651</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=The+probabilistic+method&amp;rft.place=Hoboken%2C+NJ&amp;rft.series=Wiley-Interscience+Series+in+Discrete+Mathematics+and+Optimization&amp;rft.pages=87%2C+110%2C+115-119%2C+120-121%2C+123%2C+128%2C+157-148%2C+160+%28Second+edition%29&amp;rft.edition=third&amp;rft.pub=John+Wiley+and+Sons&amp;rft.date=2008&amp;rft.isbn=978-0-470-17020-5&amp;rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D2437651%23id-name%3DMR&amp;rft.aulast=Alon&amp;rft.aufirst=Noga&amp;rft.au=Spencer%2C+Joel&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text">Page 647 in <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFGrahamKnuthPatashnik1994" class="citation book cs1"><a href="/wiki/Ronald_L._Graham" class="mw-redirect" title="Ronald L. Graham">Graham, Ronald&#160;L.</a>; <a href="/wiki/Donald_Knuth" title="Donald Knuth">Knuth, Donald&#160;E.</a>; <a href="/wiki/Oren_Patashnik" title="Oren Patashnik">Patashnik, Oren</a> (1994). <i><a href="/wiki/Concrete_Mathematics" title="Concrete Mathematics">Concrete mathematics: A foundation for computer science</a></i> (Second&#160;ed.). Reading, MA: Addison–Wesley Publishing Company. pp.&#160;xiv, 657. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/0-201-55802-5" title="Special:BookSources/0-201-55802-5"><bdi>0-201-55802-5</bdi></a>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a>&#160;<a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=1397498">1397498</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Concrete+mathematics%3A+A+foundation+for+computer+science&amp;rft.place=Reading%2C+MA&amp;rft.pages=xiv%2C+657&amp;rft.edition=Second&amp;rft.pub=Addison%E2%80%93Wesley+Publishing+Company&amp;rft.date=1994&amp;rft.isbn=0-201-55802-5&amp;rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D1397498%23id-name%3DMR&amp;rft.aulast=Graham&amp;rft.aufirst=Ronald+L.&amp;rft.au=Knuth%2C+Donald+E.&amp;rft.au=Patashnik%2C+Oren&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text">Page 508 in <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKoroljukBorovskich1994" class="citation book cs1">Koroljuk, V. S.; Borovskich, Yu. V. (1994). <i>Theory of </i>U<i>-statistics</i>. Mathematics and its Applications. Vol.&#160;273 (Translated by P. V. Malyshev and D. V. Malyshev from the 1989 Russian original&#160;ed.). Dordrecht: Kluwer Academic Publishers Group. pp.&#160;x, 552. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/0-7923-2608-3" title="Special:BookSources/0-7923-2608-3"><bdi>0-7923-2608-3</bdi></a>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a>&#160;<a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=1472486">1472486</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Theory+of+U-statistics&amp;rft.place=Dordrecht&amp;rft.series=Mathematics+and+its+Applications&amp;rft.pages=x%2C+552&amp;rft.edition=Translated+by+P.+V.+Malyshev+and+D.+V.+Malyshev+from+the+1989+Russian+original&amp;rft.pub=Kluwer+Academic+Publishers+Group&amp;rft.date=1994&amp;rft.isbn=0-7923-2608-3&amp;rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D1472486%23id-name%3DMR&amp;rft.aulast=Koroljuk&amp;rft.aufirst=V.+S.&amp;rft.au=Borovskich%2C+Yu.+V.&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text">Pages 381–382 in <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBorovskikh1996" class="citation book cs1">Borovskikh, Yu. V. (1996). <i><span></span></i>U<i>-statistics in Banach spaces</i>. Utrecht: VSP. pp.&#160;xii, 420. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/90-6764-200-2" title="Special:BookSources/90-6764-200-2"><bdi>90-6764-200-2</bdi></a>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a>&#160;<a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=1419498">1419498</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=U-statistics+in+Banach+spaces&amp;rft.place=Utrecht&amp;rft.pages=xii%2C+420&amp;rft.pub=VSP&amp;rft.date=1996&amp;rft.isbn=90-6764-200-2&amp;rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D1419498%23id-name%3DMR&amp;rft.aulast=Borovskikh&amp;rft.aufirst=Yu.+V.&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text">Page xii in <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKwapieńWoyczyński1992" class="citation book cs1">Kwapień, Stanisƚaw; Woyczyński, Wojbor A. (1992). <i>Random series and stochastic integrals: Single and multiple</i>. Probability and its Applications. Boston, MA: Birkhäuser Boston, Inc. pp.&#160;xvi+360. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/0-8176-3572-6" title="Special:BookSources/0-8176-3572-6"><bdi>0-8176-3572-6</bdi></a>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a>&#160;<a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=1167198">1167198</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Random+series+and+stochastic+integrals%3A+Single+and+multiple&amp;rft.place=Boston%2C+MA&amp;rft.series=Probability+and+its+Applications&amp;rft.pages=xvi%2B360&amp;rft.pub=Birkh%C3%A4user+Boston%2C+Inc.&amp;rft.date=1992&amp;rft.isbn=0-8176-3572-6&amp;rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D1167198%23id-name%3DMR&amp;rft.aulast=Kwapie%C5%84&amp;rft.aufirst=Stanis%C6%9Aaw&amp;rft.au=Woyczy%C5%84ski%2C+Wojbor+A.&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></span> </li> <li id="cite_note-CV-6"><span class="mw-cite-backlink">^ <a href="#cite_ref-CV_6-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-CV_6-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-CV_6-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-CV_6-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-CV_6-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-CV_6-5"><sup><i><b>f</b></i></sup></a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.math.uu.se/~svante/cv.html">Curriculum Vitæ for Svante Janson</a>, read 18 december 2009</span> </li> <li id="cite_note-Carleson-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-Carleson_7-0">^</a></b></span> <span class="reference-text"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRaussenSkau2007" class="citation journal cs1">Raussen, Martin; Skau, Christian (February 2007). <a rel="nofollow" class="external text" href="http://www.ams.org/notices/200702/comm-carleson.pdf">"Interview with Abel Prize Recipient Lennart Carleson"</a> <span class="cs1-format">(PDF)</span>. <i><a href="/wiki/Notices_of_the_American_Mathematical_Society" title="Notices of the American Mathematical Society">Notices of the American Mathematical Society</a></i>. <b>54</b> (2): 223–229<span class="reference-accessdate">. Retrieved <span class="nowrap">2008-01-16</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Notices+of+the+American+Mathematical+Society&amp;rft.atitle=Interview+with+Abel+Prize+Recipient+Lennart+Carleson&amp;rft.volume=54&amp;rft.issue=2&amp;rft.pages=223-229&amp;rft.date=2007-02&amp;rft.aulast=Raussen&amp;rft.aufirst=Martin&amp;rft.au=Skau%2C+Christian&amp;rft_id=http%3A%2F%2Fwww.ams.org%2Fnotices%2F200702%2Fcomm-carleson.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFJanson1977" class="citation book cs1">Janson, Svante (1977). <i>On BMO and related spaces</i>. Uppsala: Department of Mathematics, Uppsala University.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=On+BMO+and+related+spaces&amp;rft.place=Uppsala&amp;rft.pub=Department+of+Mathematics%2C+Uppsala+University&amp;rft.date=1977&amp;rft.aulast=Janson&amp;rft.aufirst=Svante&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></span> </li> <li id="cite_note-Carleson2-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-Carleson2_9-0">^</a></b></span> <span class="reference-text"> his thesis studied <a href="/wiki/Harmonic_analysis" title="Harmonic analysis">harmonic analysis</a>, particularly <a href="/wiki/Hardy_space" title="Hardy space">Hardy spaces</a> of <a href="/wiki/Bounded_mean_oscillation" title="Bounded mean oscillation">bounded mean oscillation</a> (BMO), and <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRaussenSkau2007" class="citation journal cs1">Raussen, Martin; Skau, Christian (February 2007). <a rel="nofollow" class="external text" href="http://www.ams.org/notices/200702/comm-carleson.pdf">"Interview with Abel Prize Recipient Lennart Carleson"</a> <span class="cs1-format">(PDF)</span>. <i><a href="/wiki/Notices_of_the_American_Mathematical_Society" title="Notices of the American Mathematical Society">Notices of the American Mathematical Society</a></i>. <b>54</b> (2): 223–229<span class="reference-accessdate">. Retrieved <span class="nowrap">2008-01-16</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Notices+of+the+American+Mathematical+Society&amp;rft.atitle=Interview+with+Abel+Prize+Recipient+Lennart+Carleson&amp;rft.volume=54&amp;rft.issue=2&amp;rft.pages=223-229&amp;rft.date=2007-02&amp;rft.aulast=Raussen&amp;rft.aufirst=Martin&amp;rft.au=Skau%2C+Christian&amp;rft_id=http%3A%2F%2Fwww.ams.org%2Fnotices%2F200702%2Fcomm-carleson.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFJanson1984" class="citation book cs1">Janson, Svante (1984). <i>Random coverings and related problems</i>. Uppsala.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Random+coverings+and+related+problems&amp;rft.place=Uppsala&amp;rft.date=1984&amp;rft.aulast=Janson&amp;rft.aufirst=Svante&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_book" title="Template:Cite book">cite book</a>}}</code>: CS1 maint: location missing publisher (<a href="/wiki/Category:CS1_maint:_location_missing_publisher" title="Category:CS1 maint: location missing publisher">link</a>)</span></span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://genealogy.math.ndsu.nodak.edu/id.php?id=19988">The Mathematics Genealogy Project: Svante Janson</a>, read 1 May 2010</span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-12">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDiaconis2009" class="citation journal cs1"><a href="/wiki/Persi_Diaconis" title="Persi Diaconis">Diaconis, Persi</a> (2009). <a rel="nofollow" class="external text" href="https://doi.org/10.1090%2FS0273-0979-09-01262-2">"Book review: <i>Probabilistic symmetries and invariance principles</i> (Olav Kallenberg, Springer, New York, 2005)"</a>. <i>Bulletin of the American Mathematical Society</i>. New Series. <b>46</b> (4): 691–696. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1090%2FS0273-0979-09-01262-2">10.1090/S0273-0979-09-01262-2</a></span>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a>&#160;<a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=2525743">2525743</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Bulletin+of+the+American+Mathematical+Society&amp;rft.atitle=Book+review%3A+Probabilistic+symmetries+and+invariance+principles+%28Olav+Kallenberg%2C+Springer%2C+New+York%2C+2005%29&amp;rft.volume=46&amp;rft.issue=4&amp;rft.pages=691-696&amp;rft.date=2009&amp;rft_id=info%3Adoi%2F10.1090%2FS0273-0979-09-01262-2&amp;rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D2525743%23id-name%3DMR&amp;rft.aulast=Diaconis&amp;rft.aufirst=Persi&amp;rft_id=https%3A%2F%2Fdoi.org%2F10.1090%252FS0273-0979-09-01262-2&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></span> </li> <li id="cite_note-13"><span class="mw-cite-backlink"><b><a href="#cite_ref-13">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://archive.today/20120804074015/http://www.gustafssonsstiftelse.se/kva/tidigare.html">"Göran Gustafsson prize awarded to Svante Janson in 1994 (and to Janson's student Ola Hössjer in 2009)"</a>. 2010-06-28. Archived from <a rel="nofollow" class="external text" href="http://www.gustafssonsstiftelse.se/kva/tidigare.html">the original</a> on 2012-08-04.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=G%C3%B6ran+Gustafsson+prize+awarded+to+Svante+Janson+in+1994+%28and+to+Janson%27s+student+Ola+H%C3%B6ssjer+in+2009%29&amp;rft.date=2010-06-28&amp;rft_id=http%3A%2F%2Fwww.gustafssonsstiftelse.se%2Fkva%2Ftidigare.html&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></span> </li> </ol></div></div> <ul><li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20100917184408/http://www.math.uu.se/staff/pages/?uname=svante&amp;lang=en">Svante Janson's homepage at Uppsala University</a>. Accessed 2010-06-27.</li> <li><a rel="nofollow" class="external text" href="http://www.math.uu.se/~svante/cv.html">Curriculum Vitæ for Svante Janson</a>. Accessed 2010-06-27.</li> <li><a rel="nofollow" class="external text" href="http://www.math.uu.se/~svante/papers/index.html">Mathematical works by Svante Janson, Department of Mathematics, Uppsala University</a>. Accessed 2010-06-27.</li> <li><a rel="nofollow" class="external text" href="http://research.microsoft.com/en-us/um/redmond/groups/theory/seminar/abs/janson.txt">Details of seminar given by Janson on May 7th 2010</a> to the <a href="/wiki/Microsoft_Research" title="Microsoft Research">Microsoft Research</a> Theory Group. Accessed 2010-06-27.</li> <li><a rel="nofollow" class="external text" href="http://www.kva.se/en/Members/Kontakt-sida/?personId=114">Member record for Svante Janson</a>. <a href="/wiki/Swedish_Academy_of_Sciences" class="mw-redirect" title="Swedish Academy of Sciences">Swedish Academy of Sciences</a>. Accessed 2010-06-27.</li></ul> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Svante_Janson&amp;action=edit&amp;section=9" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="https://mathgenealogy.org/id.php?id=19988">Svante Janson</a> at the <a href="/wiki/Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://scholar.google.se/scholar?hl=en&amp;q=author%3As-janson%2C+Svante&amp;as_sdt=2001&amp;as_ylo=&amp;as_vis=0">"Svante Janson"</a>. <i>Google Scholar</i><span class="reference-accessdate">. Retrieved <span class="nowrap">25 July</span> 2022</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Google+Scholar&amp;rft.atitle=Svante+Janson&amp;rft_id=https%3A%2F%2Fscholar.google.se%2Fscholar%3Fhl%3Den%26q%3Dauthor%253As-janson%252C%2BSvante%26as_sdt%3D2001%26as_ylo%3D%26as_vis%3D0&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMathematical_Reviews" class="citation web cs1"><a href="/wiki/Mathematical_Reviews" title="Mathematical Reviews">Mathematical Reviews</a>. <a rel="nofollow" class="external text" href="http://www.ams.org/mathscinet/search/publications.html?pg1=IID&amp;s1=93655">"Svante Janson"</a><span class="reference-accessdate">. Retrieved <span class="nowrap">2010-06-29</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Svante+Janson&amp;rft.au=Mathematical+Reviews&amp;rft_id=http%3A%2F%2Fwww.ams.org%2Fmathscinet%2Fsearch%2Fpublications.html%3Fpg1%3DIID%26s1%3D93655&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ASvante+Janson" class="Z3988"></span></li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output 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href="https://isni.org/isni/0000000110412621">ISNI</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/16413213">VIAF</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.oclc.org/worldcat/entity/E39PBJmpdfGWC9wvH3TpCkBtrq">WorldCat</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">National</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/139272658">Germany</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/n91116295">United States</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://data.bibliotheken.nl/id/thes/p194888932">Netherlands</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://authority.bibsys.no/authority/rest/authorities/html/90137373">Norway</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://libris.kb.se/xv8bcj6g4cmknzs">Sweden</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://olduli.nli.org.il/F/?func=find-b&amp;local_base=NLX10&amp;find_code=UID&amp;request=987007444992005171">Israel</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Academics</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://ci.nii.ac.jp/author/DA06585315?l=en">CiNii</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://orcid.org/0000-0002-9680-2790">ORCID</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.mathgenealogy.org/id.php?id=19988">Mathematics Genealogy Project</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://zbmath.org/authors/?q=ai:janson.svante">zbMATH</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet/MRAuthorID/93655">MathSciNet</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.idref.fr/057009384">IdRef</a></span></li></ul></div></td></tr></tbody></table></div> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐5dc468848‐gl4sl Cached time: 20241122175542 Cache expiry: 2592000 Reduced expiry: false Complications: [vary‐revision‐sha1, show‐toc] CPU time usage: 0.453 seconds Real time usage: 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