62 citations · 338 across the 22 of their papers we have counts for
25 papers · 1 filter
The *-Vertex Reinforced Jump Process II: random Schrödinger representation
Christophe Sabot, Pierre Tarrès
In this paper we continue the analysis, initiated in the paper *-VRJP I, of the *-Vertex Reinforced Jump Process (*-VRJP), which is a non reversible generalization of the Vertex Re…
The *-Vertex-Reinforced Jump Process
Christophe Sabot, Pierre Tarrès
We investigate the non-reversible generalization of the Vertex-Reinforced Jump Process (VRJP), called the *-Vertex-Reinforced Jump Process (*-VRJP) and introduced by Bacallado, Sab…
The *-Edge-Reinforced Random Walk
Sergio Bacallado, Christophe Sabot, Pierre Tarrès
We define a linearly reinforced process called the *-Edge-Reinforced Random Walk (*-ERRW ) which can be seen as a Yaglom reversible, hence non-reversible, extension of the Edge-Rei…
Inverting the Ray-Knight identity on the line
Titus Lupu, Christophe Sabot, Pierre Tarrès
Using a divergent Bass-Burdzy flow we construct a self-repelling one-dimensional diffusion. Heuristically, it can be interpreted as a solution to an SDE with a singular drift invol…
Random interlacements for vertex-reinforced jump processes
Franz Merkl, Silke W. W. Rolles, Pierre Tarrès
We introduce random interlacements for transient vertex-reinforced jump processes on a general graph . Using increasing finite subgraphs of with wired boundary conditi…
Explicit formula for the density of local times of Markov Jump Processes
Ruojun Huang, Daniel Kious, Vladas Sidoravicius +1
In this note we show a simple formula for the joint density of local times, last exit tree and cycling numbers of continuous-time Markov Chains on finite graphs, which involves the…