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dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Brazilian 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">Marcelo Viana</div></th></tr><tr><td colspan="2" class="infobox-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/File:Marcelo_Viana.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/44/Marcelo_Viana.jpg/220px-Marcelo_Viana.jpg" decoding="async" width="220" height="147" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/44/Marcelo_Viana.jpg/330px-Marcelo_Viana.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/44/Marcelo_Viana.jpg/440px-Marcelo_Viana.jpg 2x" data-file-width="5184" data-file-height="3456" /></a></span></td></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><span style="display:none"> (<span class="bday">1962-03-04</span>) </span>March 4, 1962<span class="noprint ForceAgeToShow"> (age 62)</span><br /><div style="display:inline" class="birthplace"><a href="/wiki/Rio_de_Janeiro" title="Rio de Janeiro">Rio de Janeiro</a>, Brazil<sup id="cite_ref-abc_2-1" class="reference"><a href="#cite_note-abc-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup></div></td></tr><tr><th scope="row" class="infobox-label">Alma mater</th><td class="infobox-data"><a href="/wiki/University_of_Porto" title="University of Porto">University of Porto</a> (B. Sc.)<br /><a href="/wiki/Instituto_Nacional_de_Matem%C3%A1tica_Pura_e_Aplicada" title="Instituto Nacional de Matemática Pura e Aplicada">IMPA</a> (Ph. D.)<sup id="cite_ref-abc_2-2" class="reference"><a href="#cite_note-abc-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup></td></tr><tr><th scope="row" class="infobox-label">Known for</th><td class="infobox-data">Zorich–Kontsevich conjecture</td></tr><tr><th scope="row" class="infobox-label">Awards</th><td class="infobox-data"><a href="/wiki/ICTP_Ramanujan_Prize" title="ICTP Ramanujan Prize">ICTP Ramanujan Prize</a> (2005)<br /><a href="/wiki/National_Order_of_Scientific_Merit_(Brazil)" class="mw-redirect" title="National Order of Scientific Merit (Brazil)">Brazil's National Order of Scientific Merit</a><br /><a href="/wiki/Grand_Prix_scientifique_de_la_Fondation_Louis_D." title="Grand Prix scientifique de la Fondation Louis D.">Grand Prix scientifique de la Fondation Louis D.</a> (2016)<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></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/Mathematics" title="Mathematics">Mathematics</a></td></tr><tr><th scope="row" class="infobox-label">Institutions</th><td class="infobox-data"><a href="/wiki/Instituto_Nacional_de_Matem%C3%A1tica_Pura_e_Aplicada" title="Instituto Nacional de Matemática Pura e Aplicada">Instituto Nacional de Matemática Pura e Aplicada</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Thesis" title="Thesis">Thesis</a></th><td class="infobox-data"><i><a rel="nofollow" class="external text" href="http://w3.impa.br/~viana/out/thesis.pdf">Strange Attractors in Higher Dimensions</a></i> <span style="font-size:97%;">(1990)</span></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/Jacob_Palis" title="Jacob Palis">Jacob Palis</a><sup id="cite_ref-abc_2-0" class="reference"><a href="#cite_note-abc-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup></td></tr><tr><th scope="row" class="infobox-label">Doctoral students</th><td class="infobox-data"><a href="/wiki/Carlos_Matheus" title="Carlos Matheus">Carlos Matheus</a></td></tr><tr style="display:none"><td colspan="2"> </td></tr></tbody></table> <p><b>Marcelo Miranda Viana da Silva</b> (born 4 March 1962) is a Brazilian <a href="/wiki/Mathematician" title="Mathematician">mathematician</a> working in <a href="/wiki/Dynamical_systems_theory" title="Dynamical systems theory">dynamical systems theory</a>.<sup id="cite_ref-abc_2-3" class="reference"><a href="#cite_note-abc-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-abel_3-0" class="reference"><a href="#cite_note-abel-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> He proved the Zorich–Kontsevich conjecture together with <a href="/wiki/Artur_Avila" title="Artur Avila">Artur Avila</a>. </p><p>He was a <a href="/wiki/Guggenheim_Fellowship" title="Guggenheim Fellowship">Guggenheim Fellow</a> in 1993.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> He received the <a href="/wiki/TWAS_Prize" class="mw-redirect" title="TWAS Prize">TWAS Prize</a> in 1998<sup id="cite_ref-Prizes_and_Awards_5-0" class="reference"><a href="#cite_note-Prizes_and_Awards-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> and in 2005 he was awarded the inaugural <a href="/wiki/ICTP_Ramanujan_Prize" title="ICTP Ramanujan Prize">ICTP Ramanujan Prize</a> for his research achievements.<sup id="cite_ref-abel_3-1" class="reference"><a href="#cite_note-abel-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>Viana was vice-president of the <a href="/wiki/International_Mathematical_Union" title="International Mathematical Union">International Mathematical Union</a> in 2011–2014, and president of the <a href="/wiki/Sociedade_Brasileira_de_Matem%C3%A1tica" class="mw-redirect" title="Sociedade Brasileira de Matemática">Brazilian Mathematical Society</a> (2013–2015).<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </p><p>In 1998, he was a <a href="/wiki/List_of_International_Congresses_of_Mathematicians_Plenary_and_Invited_Speakers" title="List of International Congresses of Mathematicians Plenary and Invited Speakers">plenary speaker at the International Congress of Mathematicians</a>, in <a href="/wiki/Berlin" title="Berlin">Berlin</a>.<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> </p><p>Viana is director elected of the <a href="/wiki/Instituto_Nacional_de_Matem%C3%A1tica_Pura_e_Aplicada" title="Instituto Nacional de Matemática Pura e Aplicada">IMPA</a> (for the period 2016–2019). </p><p>Viana is a <a href="/wiki/Columnist" title="Columnist">columnist</a> for <i><a href="/wiki/Folha_de_S.Paulo" title="Folha de S.Paulo">Folha de S.Paulo</a></i>.<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> </p><p>He was the chair of the executive committee for the 2018 <a href="/wiki/International_Congress_of_Mathematicians" title="International Congress of Mathematicians">International Congress of Mathematicians</a>, Rio de Janeiro.<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</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=Marcelo_Viana&action=edit&section=1" title="Edit section: Biography"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Viana was born in <a href="/wiki/Rio_de_Janeiro" title="Rio de Janeiro">Rio de Janeiro</a>, Brazil, his parents being Portuguese. He grew up in Portugal, and his undergraduate studies were at the <a href="/wiki/University_of_Porto" title="University of Porto">University of Porto</a>. He received his <a href="/wiki/Doctor_of_Philosophy" title="Doctor of Philosophy">Ph.D.</a> degree from the IMPA in Rio de Janeiro, with <a href="/wiki/Jacob_Palis" title="Jacob Palis">Jacob Palis</a> as advisor. He is now director at IMPA.<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Work">Work</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Marcelo_Viana&action=edit&section=2" title="Edit section: Work"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Viana's work concerns <a href="/wiki/Chaotic_dynamical_system" class="mw-redirect" title="Chaotic dynamical system">chaotic dynamical systems</a> and <a href="/wiki/Strange_attractor" class="mw-redirect" title="Strange attractor">strange attractors</a>.<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Selected_publications">Selected publications</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Marcelo_Viana&action=edit&section=3" title="Edit section: Selected publications"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>jointly with <a href="/wiki/Artur_Avila" title="Artur Avila">AVILA, A.</a>, "Simplicity of Lyapunov spectra: proof of the Zorich–Kontsevich conjecture". <i><a href="/wiki/Acta_Mathematica" title="Acta Mathematica">Acta Mathematica</a></i>. vol. 198 (2007), no. 1, pp. 1–56.</li> <li>jointly with <a href="/wiki/Jacob_Palis" title="Jacob Palis">PALIS, J.</a>, "High dimension diffeomorphisms displaying infinitely many periodic attractors". <i><a href="/wiki/Annals_of_Mathematics" title="Annals of Mathematics">Annals of Mathematics</a></i>. vol. 140 (1994), no. 1, pp. 207–250.</li> <li>jointly with MORA, L., "Abundance of strange attractors". <i>Acta Mathematica</i>. vol. 171 (1993), no. 1, pp. 1–71.</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=Marcelo_Viana&action=edit&section=4" 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"><a rel="nofollow" class="external text" href="http://grands-prix.institut-de-france.fr/sites/grands-prix.institut-de-france.fr/files/cp_louisd_2.pdf">Institut de France: "LE GRAND PRIX SCIENTIFIQUE DE LA FONDATION LOUIS D. 2016 REMIS À FRANÇOIS LABOURIE ET MARCELO VIANA"</a> (in French)</span> </li> <li id="cite_note-abc-2"><span class="mw-cite-backlink">^ <a href="#cite_ref-abc_2-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-abc_2-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-abc_2-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-abc_2-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><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 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.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 class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20171005201144/http://www.abc.org.br/~viana">"Marcelo Miranda Viana da Silva"</a>. <i>www.abc.org.br</i>. Archived from <a rel="nofollow" class="external text" href="http://www.abc.org.br/~viana">the original</a> on 2017-10-05.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=www.abc.org.br&rft.atitle=Marcelo+Miranda+Viana+da+Silva&rft_id=http%3A%2F%2Fwww.abc.org.br%2F~viana&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMarcelo+Viana" class="Z3988"></span></span> </li> <li id="cite_note-abel-3"><span class="mw-cite-backlink">^ <a href="#cite_ref-abel_3-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-abel_3-1"><sup><i><b>b</b></i></sup></a></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://web.archive.org/web/20170928005902/http://www.abelprize.no/nyheter/vis.html?tid=46154">"News: Viana received the first Ramanujan Prize"</a>. <i>www.abelprize.no</i>. Archived from <a rel="nofollow" class="external text" href="http://www.abelprize.no/nyheter/vis.html?tid=46154">the original</a> on 2017-09-28<span class="reference-accessdate">. Retrieved <span class="nowrap">2014-12-05</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=www.abelprize.no&rft.atitle=News%3A+Viana+received+the+first+Ramanujan+Prize&rft_id=http%3A%2F%2Fwww.abelprize.no%2Fnyheter%2Fvis.html%3Ftid%3D46154&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMarcelo+Viana" 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"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.gf.org/fellows/all-fellows/marcelo-viana/">"John Simon Guggenheim Foundation - Marcelo Viana"</a>. <i>www.gf.org</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=www.gf.org&rft.atitle=John+Simon+Guggenheim+Foundation+-+Marcelo+Viana&rft_id=http%3A%2F%2Fwww.gf.org%2Ffellows%2Fall-fellows%2Fmarcelo-viana%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMarcelo+Viana" class="Z3988"></span></span> </li> <li id="cite_note-Prizes_and_Awards-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-Prizes_and_Awards_5-0">^</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="http://twas.org/opportunities/prizes-and-awards">"Prizes and Awards"</a>. The World Academy of Sciences. 2016.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Prizes+and+Awards&rft.pub=The+World+Academy+of+Sciences&rft.date=2016&rft_id=http%3A%2F%2Ftwas.org%2Fopportunities%2Fprizes-and-awards&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMarcelo+Viana" class="Z3988"></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFthe_technician" class="citation web cs1">the_technician. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20170515025749/http://www.mathunion.org/organization/ec/ec-1952-2014/">"International Mathematical Union (IMU): EC 1952-2014"</a>. <i>www.mathunion.org</i>. Archived from <a rel="nofollow" class="external text" href="http://www.mathunion.org/organization/ec/ec-1952-2014/">the original</a> on 2017-05-15.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=www.mathunion.org&rft.atitle=International+Mathematical+Union+%28IMU%29%3A+EC+1952-2014&rft.au=the_technician&rft_id=http%3A%2F%2Fwww.mathunion.org%2Forganization%2Fec%2Fec-1952-2014%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMarcelo+Viana" class="Z3988"></span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.sbm.org.br/institucional/organização/diretoria">Diretoria - SBM - Sociedade Brasileira de Matemática</a></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 class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.mathunion.org/icm-plenary-and-invited-speakers?combine=Viana">"International Mathematical Union (IMU)"</a>. <i>www.mathunion.org</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=www.mathunion.org&rft.atitle=International+Mathematical+Union+%28IMU%29&rft_id=https%3A%2F%2Fwww.mathunion.org%2Ficm-plenary-and-invited-speakers%3Fcombine%3DViana&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMarcelo+Viana" class="Z3988"></span></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFViana,_Marcelo1998" class="citation book cs1">Viana, Marcelo (1998). <a rel="nofollow" class="external text" href="https://www.elibm.org/ft/10011737000">"Dynamics: a probabilistic and geometric perspective"</a>. <i>Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. I</i>. pp. 557–578.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Dynamics%3A+a+probabilistic+and+geometric+perspective&rft.btitle=Doc.+Math.+%28Bielefeld%29+Extra+Vol.+ICM+Berlin%2C+1998%2C+vol.+I&rft.pages=557-578&rft.date=1998&rft.au=Viana%2C+Marcelo&rft_id=https%3A%2F%2Fwww.elibm.org%2Fft%2F10011737000&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMarcelo+Viana" 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 class="citation news cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="http://www1.folha.uol.com.br/colunas/marceloviana/">"Folha de S.Paulo – Colunistas"</a>. <i>Folha de S.Paulo</i> (in Brazilian Portuguese)<span class="reference-accessdate">. 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Archived from <a rel="nofollow" class="external text" href="http://www.icm2018.org/portal/en/icm-in-brazil">the original</a> on 2015-05-11<span class="reference-accessdate">. Retrieved <span class="nowrap">2017-05-08</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=www.icm2018.org&rft.atitle=ICM+%E2%80%93+ICM+2018+in+Brazil&rft_id=http%3A%2F%2Fwww.icm2018.org%2Fportal%2Fen%2Ficm-in-brazil&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMarcelo+Viana" class="Z3988"></span></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="CITEREFLUSA2005" class="citation web cs1">LUSA, RTP, Rádio e Televisão de Portugal - Agência (14 December 2005). <a rel="nofollow" class="external text" href="http://www.rtp.pt/noticias/pais/portugues-a-trabalhar-no-brasil-recebe-premio-internacional_n22201">"Português a trabalhar no Brasil recebe prémio internacional"</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Portugu%C3%AAs+a+trabalhar+no+Brasil+recebe+pr%C3%A9mio+internacional&rft.date=2005-12-14&rft.aulast=LUSA&rft.aufirst=RTP%2C+R%C3%A1dio+e+Televis%C3%A3o+de+Portugal+-+Ag%C3%AAncia&rft_id=http%3A%2F%2Fwww.rtp.pt%2Fnoticias%2Fpais%2Fportugues-a-trabalhar-no-brasil-recebe-premio-internacional_n22201&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMarcelo+Viana" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_web" title="Template:Cite web">cite web</a>}}</code>: CS1 maint: multiple names: authors list (<a href="/wiki/Category:CS1_maint:_multiple_names:_authors_list" title="Category:CS1 maint: multiple names: authors list">link</a>)</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://web.archive.org/web/20131204204107/http://www.umalca.org/web/?page_id=614">"UMALCA » Viana"</a>. 4 December 2013. Archived from <a rel="nofollow" class="external text" href="http://www.umalca.org/web/?page_id=614">the original</a> on 4 December 2013.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=UMALCA+%C2%BB+Viana&rft.date=2013-12-04&rft_id=http%3A%2F%2Fwww.umalca.org%2Fweb%2F%3Fpage_id%3D614&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMarcelo+Viana" class="Z3988"></span></span> </li> </ol></div></div> <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=Marcelo_Viana&action=edit&section=5" 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="http://w3.impa.br/~viana/">Home page of Marcelo Viana</a></li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20131204204107/http://www.umalca.org/web/?page_id=614">Unión Matemática de América Latina y el Caribe – UMALCA Award in Mathematics 2000: Marcelo Viana</a></li> <li><a rel="nofollow" class="external text" href="https://scholar.google.com/citations?user=2ZEBuPIAAAAJ">Marcelo Viana</a> publications indexed by <a href="/wiki/Google_Scholar" title="Google Scholar">Google Scholar</a> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q1893398#P1960" title="Edit this at Wikidata"><img alt="Edit this at Wikidata" src="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/20px-OOjs_UI_icon_edit-ltr-progressive.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></li> <li><a rel="nofollow" class="external text" href="https://www.youtube.com/watch?v=VfslxE_M75k&list=PLF524D2059DD3CEF3&index=1">Viana teaching a course on ordinary differential equations (in Portuguese)</a></li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20160214152912/http://www.cim.pt/files/publications/b20www.pdf">Interview with Marcelo Viana, conducted by Maria Manuel Clementino and Jorge Picado</a></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 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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://isni.org/isni/0000000116626241">ISNI</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/66746505">VIAF</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.oclc.org/worldcat/entity/E39PBJv4p6cPQMxmCKFQggBF8C">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/1073175278">Germany</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/no2004040537">United States</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb15024218v">France</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://data.bnf.fr/ark:/12148/cb15024218v">BnF data</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://data.bibliotheken.nl/id/thes/p164013148">Netherlands</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://olduli.nli.org.il/F/?func=find-b&local_base=NLX10&find_code=UID&request=987007518814305171">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://www.mathgenealogy.org/id.php?id=53790">Mathematics Genealogy Project</a></span></li><li><span class="uid"><a rel="nofollow" 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