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<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><b><span style="font-size:12pt;line-height:115%" lang="EN-US">Probability
Webinar -<span>  </span><span> </span>IM-UFRJ <span></span></span></b></p>

<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US"><span> </span></span></p>

<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Dear colleagues, <span> </span><span></span></span></p>

<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Our next online seminar will be held next Monday, July
27, from <b>3 p.m. to 4 p.m</b>. (Rio de Janeiro local time)<span></span></span></p>

<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">The GoogleMeet link for the seminars is: </span><a href="https://meet.google.com/nxh-optr-wtq" style="color:blue;text-decoration:underline" target="_blank"><span style="font-size:12pt;line-height:115%" lang="EN-US">https://meet.google.com/nxh-optr-wtq</span></a><span style="font-size:12pt;line-height:115%" lang="EN-US"> 
<br>
<br>
<span></span></span></p>

<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Speaker: <b><span style="font-family:"Calibri","sans-serif";font-weight:normal">Daniel Valesin <span> </span>(</span></b><span>University of Groningen)<b><span></span></b></span></span></p>

<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US"><br>
</span><span style="font-size:12pt;line-height:115%" lang="EN-US">Title:</span><span style="font-size:12pt;line-height:115%" lang="EN-US"> </span><span style="font-size:12pt;line-height:115%" lang="EN-US">On the threshold of spread-out
contact process percolation</span><span style="font-size:12pt;line-height:115%" lang="EN-US"><span></span></span></p>

<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt" lang="EN-US"><span> </span></span></p>

<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Abstract:<b>
</b></span><span style="font-size:12pt;line-height:115%" lang="EN-US">We study the stationary distribution
of the (spread-out) d-dimensional contact process from the point of view of
site percolation. In this process, vertices of \Z^d can be healthy (state 0) or
infected (state 1). With rate one infected individuals recover, and with rate
\lambda they transmit the infection to some other vertex chosen uniformly
within a ball of radius R. The classical phase transition result for this
process states that there is a critical value \lambda_c(R) such that the
process has a non-trivial stationary distribution if and only if \lambda >
\lambda_c(R). In configurations sampled from this stationary distribution, we
study nearest-neighbor site percolation of the set of infected sites; the
associated percolation threshold is denoted \lambda_p(R). We prove that \lambda_p(R)
converges to 1/(1-p_c) as R tends to infinity, where p_c is the threshold for
Bernoulli site percolation on \Z^d. As a consequence, we prove that
\lambda_p(R) > \lambda_c(R) for large enough R, answering an open question
of [Liggett, Steif, AIHP, 2006] in the spread-out case. Joint work with Balázs
Ráth. <span></span></span></p>

<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;font-family:"Times New Roman","serif"" lang="EN-US"><span> </span></span></p>

<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt" lang="EN-US"><span> </span></span></p>

<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">All the talks are held in English. <span></span></span></p>

<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Thanks for circulating this information. <span></span></span></p>

<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Sincerely, <br>
<br>
<span></span></span></p>

<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Organizers: Guilherme Ost and
Maria Eulalia Vares<span></span></span></p>





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