112 citations · 823 across the 70 of their papers we have counts for
8 papers · 1 filter
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…
Random walk on random walks: low densities
Oriane Blondel, Marcelo R. Hilario, Renato Soares dos Santos +2
We consider a random walker in a dynamic random environment given by a system of independent simple symmetric random walks. We obtain ballisticity results under two types of pertur…
Random walk on random walks: higher dimensions
Oriane Blondel, Marcelo R. Hilario, Renato Soares dos Santos +2
We study the evolution of a random walker on a conservative dynamic random environment composed of independent particles performing simple symmetric random walks, generalizing resu…
One-dimensional Multi-particle DLA -- a PDE approach
Vladas Sidoravicius, Balazs Rath
In the present note we analyze the one-dimensional multi-particle diffusion limited aggregation (MDLA) model: the initial number of particles at each positive integer site has Pois…
Brownian Particles with Rank-Dependent Drifts: Out-of-Equilibrium Behavior
Manuel Cabezas, Amir Dembo, Andrey Sarantsev +1
We study the long-range asymptotic behavior for an out-of-equilibrium countable one-dimensional system of Brownian particles interacting through their rank-dependent drifts. Focusi…
Universality and Sharpness in Absorbing-State Phase Transitions
Leonardo T. Rolla, Vladas Sidoravicius, Olivier Zindy
We consider the Activated Random Walk model in any dimension with any sleep rate and jump distribution and ergodic initial state. We show that the stabilization properties depend o…