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20122023
most citedSublinear variance in first-passage percolation for general distributions

41 citations · 120 across the 19 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.PR2016

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…

math.PR2016

Inequalities for critical exponents in -dimensional sandpiles

Sandeep Bhupatiraju, Jack Hanson, Antal A. Járai

Consider the Abelian sandpile measure on , , obtained as the limit of the stationary distribution of the sandpile on $[-L,L]^d \cap \mathbb{Z}…

math.PR2016★ 1 cited

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,…