3 citations · 3 across the 5 of their papers we have counts for
12 papers · 1 filter
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…
Subcritical Connectivity and Some Exact Tail Exponents in High Dimensional Percolation
Shirshendu Chatterjee, Jack Hanson, Philippe Sosoe
In high dimensional percolation at parameter , the one-arm probability is known to decay exponentially on scale . We show the same statement for…
Random nearest neighbor graphs: the translation invariant case
Bounghun Bock, Michael Damron, Jack Hanson
If is a family of random variables (weights) assigned to the edges of , the nearest neighbor graph is the directed graph induced by all edges $\langle x,y \r…
Absence of backward infinite paths for first-passage percolation in arbitrary dimension
Gerandy Brito, Michael Damron, Jack Hanson
In first-passage percolation (FPP), one places nonnegative random variables (weights) on the edges of a graph and studies the induced weighted graph metric. We consider FPP…
Absence of Disorder Chaos for Ising Spin Glasses on
Louis-Pierre Arguin, Jack Hanson
We identify simple mechanisms that prevents the onset of disorder chaos for the Ising spin glass model on . This was first shown by Chatterjee in the case of Gaussian…
Universality of the time constant for critical first-passage percolation
Michael Damron, Jack Hanson, Wai-Kit Lam
We consider first-passage percolation (FPP) on the triangular lattice with vertex weights whose common distribution function satisfies . This is known as the…