170 citations · 378 across the 35 of their papers we have counts for
41 papers
Recurrence and transience of the critical random walk snake in random conductances
Alexandre Legrand, Christophe Sabot, Bruno Schapira
In this paper we study the recurrence and transience of the -valued branching random walk in random environment indexed by a critical Bienaymé-Galton-Watson tree, con…
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…
A continuous random operator associated with the Vertex Reinforced Jump Process on the circle and the real line
V Rapenne, C Sabot
In this paper, we focus on the scaling-limit of the random potential associated with the Vertex Reinforced Jump Process (VRJP) on one-dimensional graphs. Moreover, we give a fe…
A multi-dimensional version of Lamperti's relation and the Matsumoto-Yor processes
Thomas Gérard, Valentin Rapenne, Christophe Sabot +1
This paper presents a multidimensional extension of the Matsumoto-Yor properties related to exponential functionals of drifted Brownian motion. The extension involves the interacti…
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…