3 papers
math.PR2024
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, co…
math.PR2024
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…
math.PR2024
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…