Growth of unimodular random graphs

Wed Jan 25, 2023 4:15 p.m.—5:15 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Seminar: 
Colloquium

Event time: 
Wednesday, January 25, 2023 - 4:15pm

Location: 
LOM 214

Speaker: 
Mikolaj Fraczyk

Speaker affiliation: 
University of Chicago

Event description: 
Abstract: Unimodular random graphs are probabilistic objects arising, for example, as the limits of sequences of finite graphs or as the connected components of a percolation on a transitive graph. In general, a unimodular random graph might fail to have an exponential growth rate but for unimodular random trees there is a curious dichotomy where the growth can be shown to exist once the “upper growth” passes certain threshold. Based on a joint work with Miklos Abert and Ben Hayes.