Jack Hanson

activity

20152023

most citedStrict inequality for the chemical distance exponent in two-dimensional critical percolation

3 citations · 3 across the 6 of their papers we have counts for

collaborators

Showing 2021 · math.PRShow all

2 papers · 2 filters

math.PR2021

Transitions for exceptional times in dynamical first-passage percolation

Michael Damron, Jack Hanson, David Harper +1

In first-passage percolation (FPP), we let $(τ_{v})$ be i.i.d. nonnegative weights on the vertices of a graph and study the weight of the minimal path between distant vertices. If $F…

math.PR2021

Subcritical Connectivity and Some Exact Tail Exponents in High Dimensional Percolation

Shirshendu Chatterjee, Jack Hanson, Philippe Sosoe

In high dimensional percolation at parameter $p < p_{c}$ , the one-arm probability $π_{p} (n)$ is known to decay exponentially on scale $(p_{c} - p)^{- 1/2}$ . We show the same statement for…