<html><head><style type='text/css'>p { margin: 0; }</style></head><body><div style='font-family: times new roman,new york,times,serif; font-size: 12pt; color: #000000'>Prezados colegas e alunos, Esta mensagem é para divulgar a palestra desta semana do ciclo de Seminários de Probabilidade e Sistemas Complexos, ICMC-USP & UFSCar, São Carlos. Uma lista com as palestras passadas, e as próximas, pode ser encontrada no seguinte link: <a target="_blank" href="http://www.icmc.usp.br/pessoas/pablor/seminar/pcs_seminar.html">http://www.icmc.usp.br/pessoas/pablor/seminar/pcs_seminar.html</a> Segue a informação da próxima sexta. <h3> Invariance under quasi-isometries of subcritical and supercritical behaviour in Boolean Percolation Model</h3> Speaker: Cristian Coletti (CMCC-UFABC) Date: 08/05/2015 • Time: 16h00 • Room: 4-111 (ICMC) Abstract: In this work we study the Boolean model of percolation in locally compact Polish metric spaces , both discrete and continuous, and we prove the invariance of subcritical and supercritical phases under mm-quasi-isometries. In other words, we prove that if the Poisson Boolean model of percolation is subcritical or supercritical (or exhibits phase transition) in a metric space M which is mm-quasi-isometric to a metric space N, then these phases also exists for a Boolean model of percolation in N. Then we apply these results to understand the phenomena of phase transition in a large families of metric spaces. Indeed, we study the Poisson Boolean model of percolation in some Riemannian Manifolds, a large family of nilpotent Lie groups and Cayley graphs. Also, we prove the existence of a subcritical phase in Gromov spaces with bounded growth at some scale. Estão todos convidados! Favor divulgar a possíveis interessados. Um abraço, <div>Pablo Martín Rodríguez Professor Doutor (MS-3) Department of Applied Mathematics and Statistics, ICMC-USP C.P. 668 - São Carlos, SP, Brazil - CEP 13560-970 </div> </div></body></html>