<div dir="ltr"><div id="gmail-:1bn" class="gmail-Ar gmail-Au gmail-Ao"><div id="gmail-:1bj" class="gmail-Am gmail-Al editable gmail-LW-avf gmail-tS-tW gmail-tS-tY" aria-label="Corpo da mensagem" role="textbox" aria-multiline="true" tabindex="1" style="direction:ltr;min-height:271px" aria-controls=":1ed"><div id="gmail-:1bn" class="gmail-Ar gmail-Au gmail-Ao"><div id="gmail-:1bj" class="gmail-Am gmail-Al editable gmail-LW-avf gmail-tS-tW gmail-tS-tY" aria-label="Corpo da mensagem" role="textbox" aria-multiline="true" tabindex="1" style="direction:ltr;min-height:271px" aria-controls=":1ed">Prezados colegas,<div><br></div><div><p style="margin:0px;font-stretch:normal;line-height:normal;color:rgb(0,0,0)">na próxima <span style="font-weight:bold">sexta-feira</span>, 11 de novembro, às <span style="font-weight:bold">14h, </span>acontecerá mais um seminário híbrido do ciclo SPSP-IME-USP. O seminário será <b>online, </b>pelo Google Meets no link </p><p style="margin:0px;font-stretch:normal;line-height:normal;color:rgb(0,0,0)"><a href="https://meet.google.com/zqd-hqsw-mir">https://meet.google.com/zqd-hqsw-mir</a><br></p><p style="margin:0px;font-stretch:normal;line-height:normal;color:rgb(0,0,0)"><br></p><p style="margin:0px;font-stretch:normal;line-height:normal;color:rgb(0,0,0)">Outras informações sobre os seminários passados e próximos seminários estão disponíveis em  <a href="https://sites.google.com/usp.br/psps-ime-usp/in%C3%ADcio" target="_blank">https://sites.google.com/usp.br/psps-ime-usp/in%C3%ADcio</a></p><p style="margin:0px;font-stretch:normal;line-height:normal;min-height:20.3px;color:rgb(0,0,0)"><br></p><p style="margin:0px;font-stretch:normal;line-height:normal;color:rgb(0,0,0)">Um abraço,</p><p style="margin:0px;font-stretch:normal;line-height:normal;color:rgb(0,0,0)">Aline Duarte</p><p style="margin:0px;font-stretch:normal;line-height:normal;color:rgb(0,0,0)">________________________________</p><p style="margin:0px;font-stretch:normal;line-height:normal;color:rgb(0,0,0)"><br></p><p style="margin:0px;font-stretch:normal;line-height:normal;color:rgb(0,0,0)"><br></p><p style="margin:0px;font-stretch:normal;line-height:normal;color:rgb(0,0,0)"><font size="4"><b style="color:rgb(34,34,34);font-family:arial,sans-serif"><font color="#0000ff">Seminar on Probability and Stochastic Processes</font></b><br></font></p><p style="margin:0px;font-stretch:normal;line-height:normal;color:rgb(0,0,0)"><br></p><p style="margin:0px;font-stretch:normal;line-height:normal"><font face="arial, sans-serif" style="color:rgb(0,0,0)">Speaker: </font><font color="#212121" face="Arial"><b>Sandro Gallo</b></font><span style="color:rgb(31,31,31);background-color:transparent;font-variant-numeric:normal;font-variant-east-asian:normal;font-family:Roboto;font-weight:700;vertical-align:baseline;white-space:pre-wrap"> </span><span style="color:rgb(33,33,33);background-color:transparent;font-variant-numeric:normal;font-variant-east-asian:normal;font-family:Arial;vertical-align:baseline;white-space:pre-wrap">(</span><span style="color:rgb(0,0,0);background-color:transparent;font-variant-numeric:normal;font-variant-east-asian:normal;font-family:Arial;vertical-align:baseline;white-space:pre-wrap">UFSCar</span><span style="color:rgb(33,33,33);background-color:transparent;font-variant-numeric:normal;font-variant-east-asian:normal;font-family:Arial;vertical-align:baseline;white-space:pre-wrap">)</span></p><p style="margin:0px;font-stretch:normal;line-height:normal;color:rgb(0,0,0)"><font face="arial, sans-serif"><span style="color:rgb(255,0,0)">Next Friday, </span><b style="color:rgb(255,0,0)">November 11th - 2pm</b><br></font></p><p style="margin:0px;font-stretch:normal;line-height:normal;color:rgb(0,0,0)"><font face="arial, sans-serif"><span style="color:rgb(34,34,34)">Live on: </span></font><a href="https://meet.google.com/zqd-hqsw-mir">https://meet.google.com/zqd-hqsw-mir</a><br></p><p style="margin:0px;font-stretch:normal;line-height:normal;color:rgb(0,0,0)"><br></p><p style="margin:0px;font-stretch:normal;line-height:normal;color:rgb(0,0,0)"><span style="color:rgb(34,34,34);font-family:arial,sans-serif"><br></span></p><div style="margin:0px;font-stretch:normal;line-height:normal"><div><b>Title: </b>Critical surface for the multi-edges percolation model on oriented homogeneous trees</div><div><b><br></b></div><div><b>Abstract: </b>de Lima, Rolla and Valesin (2019) introduced and studied the 2-edges percolation model on homogeneous oriented trees $\mathbb T_d$. In this model, small (length one) edges are opened with probability $p$ and long (length $k>1$) edges are opened with probability $q$. Here, in the slightly more general setting of m-edges ($m\ge2$), we obtain the critical surface as the set of $0$'s of a specific polynomial with coefficients depending on $d$. Specializing to the original 2-edges case, we can extract bounds for the critical parameters, which are valid for any $d$ and $k$.</div></div></div></div></div></div></div></di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