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