Jack Hanson

activity

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 2014Show all

2 papers · 1 filter

math.PR2014

Rate of convergence of the mean for sub-additive ergodic sequences

Antonio Auffinger, Michael Damron, Jack Hanson

For sub-additive ergodic processes ${X_{m, n}}$ with weak dependence, we analyze the rate of convergence of $E X_{0, n} / n$ to its limit $g$ . We define an exponent $γ$ given…

math.PR2014★ 22 cited

Subdiffusive concentration in first-passage percolation

Michael Damron, Jack Hanson, Philippe Sosoe

We prove exponential concentration in i.i.d. first-passage percolation in $Z^{d}$ for all $d \geq 2$ and general edge-weights $(t_{e})$ . Precisely, under an exponential moment assumpti…