55 citations · 223 across the 31 of their papers we have counts for
3 papers · 2 filters
Fixed energy universality for Dyson Brownian motion
Benjamin Landon, Philippe Sosoe, Horng-Tzer Yau
We consider Dyson Brownian motion for classical values of with deterministic initial data . We prove that the local eigenvalue statistics coincide with the GOE/GUE in the fi…
Arm events in two-dimensional invasion percolation
Michael Damron, Jack Hanson, Philippe Sosoe
We compare the probabilities of arm events in two-dimensional invasion percolation to those in critical percolation. Arm events are defined by the existence of a prescribed color s…
On the chemical distance in critical percolation II
Michael Damron, Jack Hanson, Philippe Sosoe
We continue our study of the chemical (graph) distance inside large critical percolation clusters in dimension two. We prove new estimates, which involve the three-arm probability,…