Our next seminar will be held on Monday, April 13, from 3:30 p.m. to 4:30 p.m. (Rio de Janeiro local time).
It will be held through Google Meet https://meet.google.com/ovw-zbod-xfw
Speaker: Aurelia Deshayes – Université Paris-Est Créteil (FSEG et LAMA)
Title: The contact process can survive on a subcritical dynamic percolation cluster
Abstract: Linker and Remenik introduced the contact process on dynamic edges, where the contact process evolves on a dynamic environment given by a dynamic percolation on the edges of Z^d (each edge updates its state to open or closed with respective rates vp and v(1-p), It is then possible to define a critical parameter lambda_c(v,p) for the contact process, depending on v and p. Hilario, Ungaretti, Valesin and Vares proved that for p>p_c this critical parameter is always finite and that for p<p_c this critical parameter goes to infinity when v goes to 0. In a recent work with Régine Marchand, we propose a new proof of the first result, from an algorithmic point of view. Then we show that the process can survive for all v>0 for some p<p_c.
More complete information about the seminars can be found at
https://ppge.im.ufrj.br/seminarios-de-probabilidade/
Organizers: Giulio Iacobelli and Maria Eulalia Vares
Our next seminar will be held on Monday, March 30, from 3:30 p.m. to 4:30 p.m. (Rio de Janeiro local time). The meeting will take place at room C116- Bloco C - CT – Instituto de Matemática – UFRJ. There will be no transmission online.
Speaker: Katrin Gelfert (IM-UFRJ)
Title: Pushing Furstenberg's result to a limit
Abstract:
Considering random products of independently and identically distributed SL(2,R) matrices, a classical result of Furstenberg establishes exponential growth, except in certain “degenerate” cases. An alternative perspective is to view this setting as a linear cocycle over a Bernoulli automorphism, with the dynamics given by the corresponding matrix multiplication. We investigate the limits of possible extensions of this phenomenon by showing that, for typical elliptic cocycles, there exist loosely Bernoulli automorphisms for which the maximal Lyapunov exponent vanishes. This is joint work with L. J. Díaz and M. Rams.
More complete information about the seminars can be found at
https://ppge.im.ufrj.br/seminarios-de-probabilidade/
Organizers: Giulio Iacobelli and Maria Eulalia Vares
O bolsista PAEALIG deve ser capaz de auxiliar os professores na preparação dos ambientes computacionais necessários para a realização das aulas práticas envolvendo o uso de computadores e na orientação dos alunos para a sua correta utilização, além de auxiliar a coordenação do laboratório nas atividades de preparação, operacionalização e manutenção da infraestrutura computacional, tanto dos equipamentos como dos aplicativos.
Período de inscrição: 30/03 a 03/04/2026
