<div dir="ltr"><p style="font-size:13px;color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif;text-align:center"><span style="font-family:arial,helvetica,sans-serif"><strong>Seminário do Programa de Pós-Graduação em Estatística da UFPE</strong></span></p><p style="font-size:13px;color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif;text-align:center"><span style="font-family:arial,helvetica,sans-serif">"</span><span style="color:rgb(34,34,34);font-family:arial,sans-serif;text-align:start">The dimension of the range of a transient </span><span style="color:rgb(34,34,34);font-family:arial,sans-serif;text-align:start">random walk</span><span style="font-family:arial,helvetica,sans-serif">"</span> </p><p style="font-size:13px;color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif;margin:0cm 0cm 0pt;text-align:center"> </p><p style="font-size:13px;color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif;margin:0cm 0cm 0pt;text-align:center"><span style="color:rgb(34,34,34);font-family:arial,sans-serif;text-align:start;white-space:pre-wrap">Dr. Alex Ramos</span><br></p><div style="font-size:13px;text-align:center"><span style="font-family:arial,helvetica,sans-serif"> </span></div><div style="font-size:13px;text-align:center"><span style="text-align:start;white-space:pre-wrap">Departamento de Estatística - UFPE</span><br></div><div style="font-size:13px;text-align:center"> </div><div style="font-size:13px;text-align:center"> </div><p style="font-size:13px;color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif;margin:0cm 0cm 0pt;text-align:center"><span style="font-family:arial,helvetica,sans-serif"><span style="color:rgb(26,26,26)">Data: 18 de março de 2015 (quarta-feira)</span></span></p><p style="font-size:13px;color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif;margin:0cm 0cm 0pt;text-align:center"> </p><p style="font-size:13px;color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif;margin:0cm 0cm 0pt;text-align:center"> </p><p style="font-size:13px;color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif;margin:0cm 0cm 0pt;text-align:center"> </p><p style="font-size:13px;color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif"><span style="color:rgb(26,26,26);font-family:arial,helvetica,sans-serif">Horário: 16:00 horas</span></p><p style="font-size:13px;color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif"><span style="color:rgb(26,26,26);font-family:arial,helvetica,sans-serif">Local: Auditório Ruy Gomes - Departamento de Estatística da UFPE, <br></span><span style="color:rgb(26,26,26);font-family:arial,helvetica,sans-serif">Segundo andar do CCEN</span></p><div style="font-size:13px;color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif"> </div><div style="font-size:13px;color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif"> </div><div style="font-size:13px;color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif"><span style="color:rgb(34,34,34);font-family:arial,sans-serif;white-space:pre-wrap">Resumo</span><br style="color:rgb(34,34,34);font-family:arial,sans-serif;white-space:pre-wrap"><span style="color:rgb(34,34,34);font-family:arial,sans-serif;white-space:pre-wrap"> </span></div><div><span style="font-size:13px">We will  introduce the large scale Hausdorff </span><span style="font-size:13px">dimension defined by Barlow and Taylor (1988) and then define the large </span><span style="font-size:13px">scale fractal percolation in Z^d. Using the large scale fractal percolation, </span><span style="font-size:13px">we find formula for the macroscopic  Hausdorff dimensions </span><br style="font-size:13px"><span style="font-size:13px">of the range of an arbitrary transient walk in Z^d. This endeavor  </span><span style="font-size:13px">solves a problem of Barlow and Taylor (1991). </span><span style="font-size:13px">This is joint work with Nicos Georgiou, Davar Khoshnevisan, and Kunwoo Kim.</span><br style="font-size:13px"></div><div><span style="font-size:13px"><br></span></div>-- <br><div class="gmail_signature"><div dir="ltr">Francisco José A. Cysneiros<div>Associate professor </div><div><span style="background-color:rgb(238,238,238);font-family:'Lucida Grande','Lucida Sans Unicode','Lucida Sans',Geneva,Arial,Helvetica,Tahoma,sans-serif;font-size:13px">Head of the Graduate Program in Statistics</span></div><div><span style="background-color:rgb(238,238,238);font-family:'Lucida Grande','Lucida Sans Unicode','Lucida Sans',Geneva,Arial,Helvetica,Tahoma,sans-serif;font-size:13px">Departament of Statistics - </span><span style="background-color:rgb(238,238,238);font-family:'Lucida Grande','Lucida Sans Unicode','Lucida Sans',Geneva,Arial,Helvetica,Tahoma,sans-serif">UFPE</span></div><div><font face="Lucida Grande, Lucida Sans Unicode, Lucida Sans, Geneva, Arial, Helvetica, Tahoma, sans-serif"><a href="http://www.de.ufpe.br/~cysneiros" target="_blank">www.de.ufpe.br/~cysneiros</a></font></div><div><b style="color:rgb(0,0,0);font-family:'Times New Roman',serif;font-size:medium;text-align:center"><span lang="EN-US"><a href="http://lattes.cnpq.br/1313497098151734" style="color:purple" target="_blank">http:/lattes.cnpq.br/1313497098151734</a></span></b></div><div><b style="color:rgb(0,0,0);font-family:'Times New Roman',serif;font-size:medium;text-align:center"><span lang="EN-US"><a href="http://www.researcherid.com/rid/G-6333-2012" style="color:purple" target="_blank"><span style="color:purple"><span><span lang="PT-BR">ResearchedId</span></span></span><span lang="PT-BR" style="color:purple"> G-633-2012</span></a></span></b></div><div><b style="color:rgb(0,0,0);font-family:'Times New Roman',serif;font-size:medium;text-align:center"><span lang="EN-US"><a href="http://orcid.org/0000-0001-6757-6969" style="color:purple" target="_blank"><span lang="PT-BR">ORCID</span></a></span></b></div></div></div>
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