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

54 papers

math.PR2025

Asymptotics for first-passage percolation on logarithmic subgraphs of

Michael Damron, Wai-Kit Lam

For and , let be the subgraph of induced by the vertices between the first coordinate axis and the graph of the function $f = f_{a…

math.PR2023

Exceptional behavior in critical first-passage percolation and random sums

Michael Damron, Jack Hanson, David Harper +1

We study first-passage percolation (FPP) on the square lattice. The model is defined using i.i.d. nonnegative random edge-weights associated to the nearest neighbor edges o…

math.PR2022

On the number and size of holes in the growing ball of first-passage percolation

Michael Damron, Julian Gold, Wai-Kit Lam +1

First-passage percolation is a random growth model defined on using i.i.d. nonnegative weights on the edges. Letting be the distance between vertice…

math.PR2022

Fluctuation bounds for first-passage percolation on the square, tube, and torus

Michael Damron, Christian Houdré, Alperen Özdemir

In first-passage percolation, one assigns i.i.d. nonnegative weights to the edges of and studies the induced distance (passage time) between vertice…

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 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.PR2020

Stretched exponential decay for subcritical parking times on

Michael Damron, Hanbaek Lyu, David Sivakoff

In the parking model on , each vertex is initially occupied by a car (with probability ) or by a vacant parking spot (with probability ). Cars perform indepen…