14 citations · 57 across the 17 of their papers we have counts for
Showing 2015 · math.PRShow all
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math.PR2015★ 1 cited
Speed of Vertex reinforced jump process on Galton-Watson trees
Xinxin Chen, Xiaolin Zeng
We give an alternative proof of the fact that the vertex reinforced jump process on Galton- Watson tree has a phase transition between recurrence and transience as a function of c,…
math.PR2015★ 14 cited
A random Schrödinger operator associated with the Vertex Reinforced Jump Process on infinite graphs
Christophe Sabot, Xiaolin Zeng
This paper concerns the Vertex reinforced jump process (VRJP), the Edge reinforced random walk (ERRW) and their link with a random Schrödinger operator. On infinite graphs, we defi…
math.PR2015★ 7 cited
The Vertex Reinforced Jump Process and a Random Schrödinger operator on finite graphs
Christophe Sabot, Pierre Tarrès, Xiaolin Zeng
We introduce a new exponential family of probability distributions, which can be viewed as a multivariate generalization of the Inverse Gaussian distribution. Considered as the pot…