OWPS's next session will be on Wednesday the 21st of June from 15:00 to 17:00 UTC (Coordinated Universal Time). We have the pleasure of introducing our next speakers:

Maria Eulàlia Vares (Universidade Federal do Rio de Janeiro) and Daniel Valesin (University of Warwick)

Title, abstract and the zoom link are below the signature and can be found on the website https://www.owprobability.org/one-world-probability-seminar.

If you are interested in the project, we kindly ask you to share this announcement within your community.

With best wishes, Alberto Chiarini (Padua) and Adrián González Casanova (Berkeley and México)

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Talk : Maria Eulàlia Vares and Daniel Valesin

Title: Renewal contact process and contact process on dynamic random environments

Abstract: In the first part of this talk, we will present recent progress on alternate versions of the Harris contact process, where we allow some aspect of the dynamics (transmissions or recoveries) to be governed by a general renewal process. In this case, several of the tools employed in the study of the classical process no longer apply, and new ones are required. We present conditions on the inter-arrival distribution of the renewal process that ensure survival or extinction of the infection.

In the second part, we switch to a model introduced by Linker and Remenik (2020), namely the (classical) contact process evolving on a dynamical graph given by dynamic bond percolation on the edges of Z^d (the environment is thus defined by the percolation density p and the edge update rate v). Their work contains several interesting results about this model, including a result in dimension one that we extend to higher dimensions. This result states that, for any fixed value of the percolation density p below the critical threshold and the contact infection rate lambda, the infection dies out if the edge update rate v is small enough.

Joint works with Luiz Renato Fontes (USP), Marcelo Hilário (UFMG), Domingos Marchetti (USP), Thomas Mountford (EPFL), Daniel Ungaretti (UFRJ).

Join Zoom Meeting https://unipd.zoom.us/j/89463956862?pwd=M25LR1paZ0l6dlpMOVBiK2VjUWpEZz09 Meeting ID: 894 6395 6862 Passcode: 789866

If you are having trouble with zoom, or if the capacity of the zoom room gets exceeded, you can also access to the Youtube live stream at the channel of the seminar: https://www.youtube.com/channel/UCiLiEQGTp6bZEhuHDM-WNWQ