<div dir="ltr"><div class="gmail_quote"><br><br><div dir="ltr"><p class="MsoNormal" style="line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><b><span lang="EN-US" style="font-size:12pt;line-height:18.4px">Probability Webinar -   IM-UFRJ</span></b></p><p class="MsoNormal" style="line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><b><span lang="EN-US" style="font-size:12pt;line-height:18.4px"> </span></b></p><p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US" style="font-size:12pt;line-height:18.4px">Dear colleagues, </span></p><p class="MsoNormal" style="line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US" style="font-size:12pt;line-height:18.4px">Our next online seminar will be held on Monday, <b>October 4, </b> from <b>3 p.m. to 4 p.m</b>. (Rio de Janeiro local time)</span></p><p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US" style="font-size:12pt;line-height:18.4px">The Zoom link for the seminar is</span><span lang="EN-US"></span></p><p class="MsoNormal" style="line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><a href="https://us02web.zoom.us/j/83698166702?pwd=ejFxYmh3dVk5b3J3SG0wMWxEVnVrUT09" style="color:blue" target="_blank"><span lang="EN-US" style="font-family:Arial,sans-serif;color:rgb(17,85,204);background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">https://us02web.zoom.us/j/83698166702?pwd=ejFxYmh3dVk5b3J3SG0wMWxEVnVrUT09</span></a><span lang="EN-US"></span></p><p class="MsoNormal" style="line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><br></p><p class="MsoNormal" style="line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><span style="font-size:12pt;line-height:18.4px">Speaker:  </span><b>Luiz Renato Fontes (IME-USP)</b><b><span style="font-size:12pt;line-height:18.4px"></span></b></p><table border="0" cellspacing="0" cellpadding="0" width="0" style="width:0cm;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;border-collapse:collapse"><tbody><tr><td width="1211" nowrap valign="top" style="width:908pt;padding:0cm"></td></tr></tbody></table><p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US" style="font-size:12pt;line-height:18.4px">Title:  </span><b><span lang="EN-US">Contact process under heavy-tailed renewals on finite graphs</span></b></p><p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US" style="font-size:12pt;line-height:18.4px">Abstract: We look at the contact process with ordinary rate lambda exponential infections and heavy tailed cures, attracted to an alpha-stable law with alpha < 1,  on a finite graph of size k. Our aim is to ascertain conditions on alpha and k such that the critical lambda for survival of the infection vanishes. We obtain nearly sharp (in a sense to be clarified) bounds on the critical k, k_c = k_c(alpha), which is always a finite number, such that the infection dies out almost surely for any lambda < infty at and below k_c; and there is positive probability of survival for any lambda > 0 above k_c. This is joint work with Pablo Almeida Gomes and Rémy Sanchis, published recently, in Bernoulli 27(3).</span></p><p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US" style="font-size:12pt;line-height:18.4px"> </span></p><p class="MsoNormal" style="line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US" style="font-size:12pt;line-height:18.4px">All the talks are held in English.</span></p><p class="MsoNormal" style="line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US" style="font-size:12pt;line-height:18.4px">The videos of the online seminars are available:</span></p><p class="MsoNormal" style="line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US" style="font-size:12pt;line-height:18.4px">2020 -  <a href="http://www.dme.ufrj.br/?page_id=2885" target="_blank">http://www.dme.ufrj.br/?page_id=2885</a></span></p><p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US" style="font-size:12pt;line-height:18.4px">2021-1  - <a href="http://www.dme.ufrj.br/?page_id=3027" target="_blank">http://www.dme.ufrj.br/?page_id=3027</a></span></p><p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US" style="font-size:12pt;line-height:18.4px">For the second semester, a few days after each meeting the video should be available at <a href="http://www.dme.ufrj.br/?page_id=3178" target="_blank">http://www.dme.ufrj.br/?page_id=3178</a></span></p><p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US" style="font-size:12pt;line-height:18.4px">Thanks for circulating this information.</span></p><p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:16.8667px;font-size:11pt;font-family:Calibri,sans-serif"><span lang="EN-US" style="font-size:12pt;line-height:18.4px">Sincerely,<br>Organizers: Guilherme Ost and Maria Eulalia Vares</span></p></div>
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