26 citations · 73 across the 29 of their papers we have counts for
4 papers · 1 filter
Degenerate random environments
Mark Holmes, Thomas S. Salisbury
We consider connectivity properties of certain i.i.d. random environments on , where at each location some steps may not be available. Site percolation and oriented percolati…
A combinatorial result with applications to self-interacting random walks
Mark Holmes, Thomas S. Salisbury
We give a series of combinatorial results that can be obtained from any two collections (both indexed by ) of left and right pointing arrows that satisfy some natural…
Random walks in degenerate random environments
Mark Holmes, Thomas S. Salisbury
We study the asymptotic behaviour of random walks in i.i.d. random environments on . The environments need not be elliptic, so some steps may not be available to the random w…
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…