Continuous time vertex reinforced jump processes on Galton-Watson trees

Details Continuous time vertex reinforced jump processes on Galton-Watson trees Continuous time vertex reinforced jump processes on Galton-Watson trees

2010-05-20

arxiv.org/abs/1005.3607v1

Mathematics

Probability

Scientific paper

We consider a continuous time vertex reinforced jump process on a supercritical Galton-Watson tree. This process takes values in the set of vertices of the tree and jumps to a neighbouring vertex with rate proportional to the local time at that vertex plus a constant. In this paper, we complete results previously obtained by Davis and Volkov (2002,2004) and Collevecchio (2006,2009) by providing a characterization for the recurrence/transience of the walk.

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