M. Damron

activity

20082025

most citedSublinear variance in first-passage percolation for general distributions

41 citations · 313 across the 45 of their papers we have counts for

collaborators

Showing 2014Show all

4 papers · 1 filter

math.PR2014★ 8 cited

Coarsening dynamics on $Z^{d}$ with frozen vertices

Michael Damron, Sinziana M. Eckner, Hana Kogan +2

We study Markov processes in which $\pm 1$ -valued random variables $σ_{x} (t), x \in Z^{d}$ , update by taking the value of a majority of their nearest neighbors or else tossing…

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★ 4 cited

Rate of convergence in first-passage percolation under low moments

Michael Damron, Naoki Kubota

We consider first-passage percolation on the $d$ dimensional cubic lattice for $d \geq 2$ ; that is, we assign independently to each edge $e$ a nonnegative random weight $t_{e}$ with…

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…

Coarsening dynamics on Zd with frozen vertices

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

Rate of convergence in first-passage percolation under low moments

Subdiffusive concentration in first-passage percolation

Coarsening dynamics on $Z^{d}$ with frozen vertices