37 citations · 126 across the 31 of their papers we have counts for
5 papers · 1 filter
Invariance principle for biased Boostrap Random Walk
Andrea Collevecchio, Kais Hamza, Yunxuan Liu
Our main goal is to study a class of processes whose increments are generated via a cellular automata rule. Given the increments of a simple biased random walk, a new sequence of (…
The branching-ruin number and the critical parameter of once-reinforced random walk on trees
Andrea Collevecchio, Daniel Kious, Vladas Sidoravicius
The motivation for this paper is the study of the phase transition for recurrence/transience of a class of self-interacting random walks on trees, which includes the once-reinforce…
On the coupling time of the heat-bath process for the Fortuin-Kasteleyn random-cluster model
Andrea Collevecchio, Eren Metin Elci, Timothy M. Garoni +1
We consider the coupling from the past implementation of the random-cluster heat-bath process, and study its random running time, or coupling time. We focus on hypercubic lattices…
On the speed and spectrum of mean-field random walks among random conductances
Andrea Collevecchio, Paul Jung
We study random walk among random conductance (RWRC) on complete graphs with N vertices. The conductances are i.i.d. and the sum of conductances emanating from a single vertex asym…
On the speed of once-reinforced biased random walk on trees
Andrea Collevecchio, Mark Holmes, Daniel Kious
We study the asymptotic behaviour of once-reinforced biased random walk (ORbRW) on Galton-Watson trees. Here the underlying (unreinforced) random walk has a bias towards or away fr…