Speed of Vertex reinforced jump process on Galton-Watson trees

2015/11/05 by Xinxin Chen, Chen, Xinxin, Xiaolin Zeng +1
Mathematics · Physics and Astronomy · #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1511.01880

openalex publication_date 2015/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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, the initial local time, see [3]. Further, applying the techniques in [1], we show a phase transition between positive speed and null speed for the discrete time process associated in the transient regime.

Citations

• The Vertex Reinforced Jump Process and a Random Schrödinger operator on finite graphs

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