<div dir="ltr"><font face="arial, sans-serif"><div style="font-family:Arial,Helvetica,sans-serif;text-align:center"><font face="arial, sans-serif"><div style="text-align:left"><font color="#000000">Caros colegas,</font></div><div style="text-align:left"><font color="#000000"><br></font></div><div style="text-align:left">na próxima <b>sexta-feira</b>, 20 de novembro, às <b>15h, </b>acontecerá mais um seminário do ciclo SPSP-IME-USP. O cronograma dos seminários pode ser acompanhado em  <a href="https://sites.google.com/usp.br/psps-ime-usp" target="_blank">https://sites.google.com/usp.br/psps-ime-usp</a>.</div></font><font face="arial, sans-serif"><div style="text-align:left"><br></div></font><font face="arial, sans-serif"><div style="text-align:left">Um abraço,</div><div style="text-align:left">Aline Duarte</div></font></div><div style="font-family:Arial,Helvetica,sans-serif;font-size:large">-------------------------------------</div><div style="font-family:Arial,Helvetica,sans-serif;font-size:large;text-align:center"><br></div><div style="font-size:large;text-align:center"><span style="font-size:small"><font size="4" color="#0000ff" style=""><b style="">Seminar on Probability and Stochastic Processes</b></font></span></div><div style="text-align:center"><span style="box-sizing:border-box;color:rgb(33,33,33);font-variant-ligatures:none;white-space:pre-wrap"><span style="font-weight:700;box-sizing:border-box"><br></span></span></div><div style="text-align:center"><span style="color:rgb(33,33,33);font-variant-ligatures:none;text-align:start;white-space:pre-wrap"> </span><span style="font-variant-numeric:normal;font-variant-east-asian:normal;color:rgb(33,33,33);background-color:transparent;vertical-align:baseline;white-space:pre-wrap"> </span><span style="color:rgb(33,33,33);font-variant-ligatures:none;white-space:pre-wrap"> </span><b><span class="gmail-il" style="font-size:16px;text-align:start">Pablo</span><span style="font-size:16px;text-align:start"> A. Gomes</span></b><span style="color:rgb(33,33,33);font-variant-ligatures:none;white-space:pre-wrap"> - (IME-</span><span style="box-sizing:border-box;color:rgb(33,33,33);font-variant-ligatures:none;white-space:pre-wrap;vertical-align:baseline">USP</span><span style="color:rgb(33,33,33);font-variant-ligatures:none;white-space:pre-wrap">)</span></div></font><font face="arial, sans-serif"><div style="text-align:center"><span style="background-color:transparent;white-space:pre-wrap;color:rgb(204,0,0)">Next Friday, November 20th - </span><b style="background-color:transparent;white-space:pre-wrap;color:rgb(204,0,0)">3pm</b></div></font><div><div style="text-align:center"><font face="arial, sans-serif"><span style="color:rgb(33,33,33);background-color:transparent;font-variant-numeric:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Live on Google Meets: </span><a href="https://meet.google.com/htw-ctsn-uua" target="_blank">https://meet.google.com/htw-ctsn-uua</a></font></div><div style="text-align:center"><font face="arial, sans-serif">Video recording will be available on: <a href="https://sites.google.com/usp.br/psps-ime-usp" target="_blank">https://sites.google.com/usp.br/psps-ime-usp</a></font></div><div><font face="arial, sans-serif"><br></font></div><div style="text-align:center"><font face="arial, sans-serif"><br></font></div><div><font face="arial, sans-serif"><span style="box-sizing:border-box;color:rgb(33,33,33);font-variant-ligatures:none;white-space:pre-wrap"><span style="font-weight:700;box-sizing:border-box">Title</span></span><span style="color:rgb(33,33,33);font-variant-ligatures:none;white-space:pre-wrap">: </span><span style="font-size:16px">Tree-like behavior for anisotropic percolation</span></font></div><div><span style="color:rgb(33,33,33);background-color:transparent;font-variant-numeric:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap"><span style="background-color:transparent;font-variant-numeric:normal;font-variant-east-asian:normal;vertical-align:baseline"><font face="arial, sans-serif"><p dir="ltr" style="box-sizing:border-box;font-variant-ligatures:none;margin:0px;outline:none;text-decoration-line:inherit;line-height:1.6;padding-top:0px;padding-left:0px"><span style="box-sizing:border-box"><span style="font-weight:700;box-sizing:border-box">Abstract:</span></span> <span style="background-color:transparent;font-variant-ligatures:normal;font-variant-numeric:normal;font-variant-east-asian:normal;vertical-align:baseline"> </span><span style="font-size:16px;font-variant-ligatures:normal;color:rgb(34,34,34)">A well-known phenomenon for independent percolation on the d-dimensional hipercubic lattice is that, in some sense, for d large, it resembles the model on the (d+1)-regular tree. </span></p></font></span></span><div style="font-size:16px"><font face="arial, sans-serif"><br></font></div><div style="font-size:16px"><font face="arial, sans-serif">In this talk we will discuss this phenomenon for anisotropic percolation models. On the oriented case, we will show that, if the sum of the local probabilities is strictly greater than one and each of them is not too large, then percolation occurs. We also will show that, in high dimensions, the crossover critical exponent is equal to one, the same value known for regular trees. </font></div><div style="font-size:16px"><font face="arial, sans-serif"><br></font></div><div style="font-size:16px"><font face="arial, sans-serif">Based on joint works with Alan Pereira, Rémy Sanchis and Roger W.C. Silva.</font></div></div></div></div>