Jack Hanson

activity

20152021

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

3 citations · 3 across the 5 of their papers we have counts for

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Showing 2017 · math.PRShow all

2 papers · 2 filters

math.PR2017

The size of the boundary in first-passage percolation

Michael Damron, Jack Hanson, Wai-Kit Lam

First-passage percolation is a random growth model defined using i.i.d. edge-weights $(t_{e})$ on the nearest-neighbor edges of $Z^{d}$ . An initial infection occupies the orig…

math.PR2017★ 3 cited

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

Michael Damron, Jack Hanson, Philippe Sosoe

We provide the first nontrivial upper bound for the chemical distance exponent in two-dimensional critical percolation. Specifically, we prove that the expected length of the short…