54 citations · 267 across the 41 of their papers we have counts for
43 papers
Limit theorems for the trajectory of the self-repelling random walk with directed edges
Laure Marêché, Thomas Mountford
The self-repelling random walk with directed edges was introduced by Tóth and Vető in 2008 as a nearest-neighbor random walk on that is non-Markovian: at each step, th…
Convergence and non-convergence of scaled self-interacting random walks to Brownian motion perturbed at extrema
Elena Kosygina, Thomas Mountford, Jonathon Peterson
We use generalized Ray-Knight theorems introduced by Bálint Tóth in 1996 together with techniques developed for excited random walks as main tools for establishing positive and neg…
Construction and convergence results for stable webs
Thomas Mountford, Krishnamurthi Ravishankar
We introduce a new metric for collections of aged paths and a robust set of criteria for compactness for a set of collection of aged paths in the topology corresponding to this met…
Stable Systems with Power Law Conditions for Poisson Hail
Thomas Mountford, Zhe Wang
We consider Poisson hail models and characterize up to boundaries the collection of critical moments which guarantee stability. In particular, we treat the case of infinite speed o…
Renewal Contact Processes: phase transition and survival
Luiz Renato Fontes, Thomas S. Mountford, Daniel Ungaretti +1
We refine previous results concerning the Renewal Contact Processes. We significantly widen the family of distributions for the interarrival times for which the critical value can…
Convergence of random walks with Markovian cookie stacks to Brownian motion perturbed at extrema
Elena Kosygina, Thomas Mountford, Jonathon Peterson
We consider one-dimensional excited random walks (ERWs) with i.i.d. markovian cookie stacks in the non-boundary recurrent regime. We prove that under diffusive scaling such an ERW…