Supercritical percolation on nonamenable graphs

07.05.2019 17:30 - 18:30

Tom Hutchcroft (University of Cambridge)


I will discuss some recent results concerning supercritical percolation on nonamenable transitive graphs, showing in particular that the volume of the cluster of the origin has an exponential tail on the event that it is finite. Based on joint work with Jonathan Hermon.

M. Beiglböck, N. Berestycki, L. Erdös, J. Maas

HS 11, 2. OG, OMP 1