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Elisabetta Candellero - Competition processes on hyperbolic non-amenable graphs

Dates:3 March 2021
Times:15:00 - 16:00
What is it:Seminar
Organiser:Department of Mathematics
Speaker:Elisabetta Candellero
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  • In category "Seminar"
  • In group "(Maths) Probability and statistics"
  • By 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.

Speaker

Elisabetta Candellero

  • https://sites.google.com/site/candelleroelisabetta/home

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https://zoom.us/j/96359227827

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Sebastian Andres

sebastian.andres@manchester.ac.uk

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