54 citations · 267 across the 41 of their papers we have counts for
4 papers · 1 filter
The survival of large dimensional threshold contact processes
Thomas Mountford, Roberto H. Schonmann
We study the threshold contact process on with infection parameter . We show that the critical point , defined as the threshold for survival s…
Limit laws of transient excited random walks on integers
Elena Kosygina, Thomas Mountford
We consider excited random walks (ERWs) on integers with a bounded number of i.i.d. cookies per site without the non-negativity assumption on the drifts induced by the cookies. Kos…
On large deviation regimes for random media models
M. Cranston, D. Gauthier, T. S. Mountford
The focus of this article is on the different behavior of large deviations of random subadditive functionals above the mean versus large deviations below the mean in two random med…
Lyapunov exponents of Green's functions for random potentials tending to zero
Elena Kosygina, Thomas S. Mountford, Martin P. W. Zerner
We consider quenched and annealed Lyapunov exponents for the Green's function of , where the potentials , are i.i.d. nonnegative random variables and i…