19 citations · 20 across the 5 of their papers we have counts for
4 papers · 1 filter
Notes on oriented percolation
Mark Holmes, Thomas S. Salisbury
These notes fill in results about oriented percolation that are required for the paper [3] ("Forward clusters for degenerate random environments"). Since these are essentially modi…
Uniqueness for Volterra-type stochastic integral equations
Leonid Mytnik, Thomas S. Salisbury
We study uniqueness for a class of Volterra-type stochastic integral equations. We focus on the case of non-Lipschitz noise coefficients. The connection of these equations to certa…
Speed calculations for random walks in degenerate random environments
Mark Holmes, Thomas S. Salisbury
We calculate explicit speeds for random walks in uniform degenerate random environments. For certain non-uniform random environments, we calculate speeds that are non-monotone.
Blowup and Conditionings of -super Brownian Exit Measures
Siva R. Athreya, Thomas S. Salisbury
We extend earlier results on conditioning of super-Brownian motion to general branching rules. We obtain representations of the conditioned process, both as an -transform, and a…