44 citations · 53 across the 5 of their papers we have counts for
4 papers · 1 filter
Vertex-reinforced random walk on Z with sub-square-root weights is recurrent
Jun Chen, Gady Kozma
We prove that vertex-reinforced random walk on the integers with weight of order k to the power alpha, for alpha in [0, 1/2), is recurrent. This confirms a conjecture of Volkov for…
A generalized Pólya's Urn with graph based interactions: convergence at linearity
Jun Chen, Cyrille Lucas
We consider a special case of the generalized Pólya's urn model introduced by Benaim et al (2013). Given a finite connected graph , place a bin at each vertex. Two bins are call…
A generalized Polya's urn with graph based interactions
Michel Benaim, Itai Benjamini, Jun Chen +1
Given a finite connected graph G, place a bin at each vertex. Two bins are called a pair if they share an edge of G. At discrete times, a ball is added to each pair of bins. In a p…
A Class of Multi-particle Reinforced Interacting Random Walks
Jun Chen
We consider a class of multi-particle reinforced interacting random walks. In this model, there are some (finite or infinite) particles performing random walks on a given (finite o…