14 citations · 57 across the 17 of their papers we have counts for
6 papers · 1 filter
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,…
Some results on the Orlicz space generated from a random normed module
Mingzhi Wu, Long Long, Xiaolin Zeng
Noting the important role the abstract space has played in the development of random normed modules, in this paper we introduce and study the Orlicz space generated from a ra…
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…
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…
Random convex analysis (I): separation and Fenchel-Moreau duality in random locally convex modules
Tiexin Guo, Shien Zhao, Xiaolin Zeng
To provide a solid analytic foundation for the module approach to conditional risk measures, our purpose is to establish a complete random convex analysis over random locally conve…
Random convex analysis (II): continuity and subdifferentiability theorems in --pre--barreled random locally convex modules
Tiexin Guo, Shien Zhao, Xiaolin Zeng
In this paper, we continue to study random convex analysis. First, we introduce the notion of an --pre--barreled module. Then, we develop the theory of random duality under th…