Elisabetta Candellero - Competition processes on hyperbolic non-amenable graphs
|Starts:||15:00 3 Mar 2021|
|Ends:||16:00 3 Mar 2021|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
Elisabetta Candellero (Roma 3) will speak in the Probability seminar.
We consider two first-passage percolation processes, FPP_1 and FPP_\lambda, spreading with rates 1 and \lambda respectively, on a graph G with bounded degree. FPP_1 starts from a single source, while the initial configuration of FPP_\lambda consists of countably many seeds distributed according to a product of iid Bernoulli random variables of parameter \mu on the set of vertices.
This model is known as "First passage percolation in a hostile environment" (FPPHE), and was introduced by Stauffer and Sidoravicius as an auxiliary model for investigating a notoriously challenging model called Multiparticle Diffusion Limited Aggregation. We consider several questions about FPPHE, focusing on the case when G is a non-amenable hyperbolic graph. This talk is based on joint works with Alexandre Stauffer.
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