17 citations · 67 across the 24 of their papers we have counts for
5 papers · 2 filters
Parking on transitive unimodular graphs
Michael Damron, Janko Gravner, Matthew Junge +2
Place a car independently with probability at each site of a graph. Each initially vacant site is a parking spot that can fit one car. Cars simultaneously perform independent r…
Coarsening model on with biased zero-energy flips and an exponential large deviation bound for ASEP
Michael Damron, Leonid Petrov, David Sivakoff
We study the coarsening model (zero-temperature Ising Glauber dynamics) on (for ) with an asymmetric tie-breaking rule. This is a Markov process on the sta…
Polluted Bootstrap Percolation in Three Dimensions
Janko Gravner, Alexander E. Holroyd, David Sivakoff
In the polluted bootstrap percolation model, vertices of the cubic lattice are independently declared initially occupied with probability or closed with probabil…
Persistence of sums of correlated increments and clustering in cellular automata
Hanbaek Lyu, David Sivakoff
We consider sums of increments given by a functional of a stationary Markov chain. Letting be the first return time of the partial sums process to , under general…
Phase transition in one-dimensional excitable media with variable interaction range
Ander Aguirre, Hanbaek Lyu, David Sivakoff
We investigate two discrete models of excitable media on a one-dimensional integer lattice : the -color Cyclic Cellular Automaton (CCA) and the -color Firefly Cel…