Speed of Vertex reinforced jump process on Galton-Watson trees
arXiv:1511.01880
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.
36 pages, 4 figures, version 2