16 citations · 34 across the 8 of their papers we have counts for
4 papers · 1 filter
The Williams Bjerknes Model on Regular Trees
Oren Louidor, Ran J. Tessler, Alexander Vandenberg-Rodes
We consider the Williams Bjerknes model, also known as the biased voter model on the -regular tree $\bbT^d$, where . Starting from an initial configuration of "healthy…
Trapping in the random conductance model
Marek Biskup, Oren Louidor, Alex Rozinov +1
We consider random walks on among nearest-neighbor random conductances which are i.i.d., positive, bounded uniformly from above but whose support extends all the way to zero…
Stability on {0,1,2,...}^S: birth-death chains and particle systems
Thomas M. Liggett, Alexander Vandenberg-Rodes
A strong negative dependence property for measures on {0,1}^n - stability - was recently developed in [5], by considering the zero set of the probability generating function. We ex…
A limit theorem for particle current in the symmetric exclusion process
Alexander Vandenberg-Rodes
Using the recently discovered strong negative dependence properties of the symmetric exclusion process, we derive general conditions for when the normalized current of particles be…