Título: Limiting shape for some random processes on groups of polynomial growth

Palestrante: Lucas Roberto de Lima (UFABC)
Data: 22/03/2021
Horário: 15:00h
Local: Transmissão online.

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Resumo: 
We study conditions for the existence of the asymptotic shape for subadditive processes defined on Cayley graphs of finitely generated groups with polynomial growth. We will focus our attention on the cases of First-Passage Percolation and the Frog Model. The considered class of graphs is an algebraic generalization of the hypercubic Z^d lattice, and the related limiting shape results combine probability with techniques from geometric group theory. This talk is based on a joint work with Cristian Coletti