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Speed of Vertex reinforced jump process on Galton-Watson trees
Xinxin Chen, Xiaolin Zeng · 2015-11-06 · via math.PR updates on arXiv.org

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.

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