[ABE-L] Seminários de Probabilidade e Sistemas Complexos, ICMC-USP & UFSCar. Sexta 08/05 (16h00)

[Pablo Martin Rodriguez]

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: http://www.icmc.usp.br/pessoas/pablor/seminar/pcs_seminar.html 

Segue a informação da próxima sexta . 
Invariance under quasi-isometries of subcritical and supercritical behaviour in Boolean Percolation Model 
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, 



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 

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