Growth of unimodular random graphs

Event time: 
Wednesday, January 25, 2023 - 4:15pm
LOM 214
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.