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math.PR2017
The branching-ruin number and the critical parameter of once-reinforced random walk on trees
Andrea Collevecchio, Daniel Kious, Vladas Sidoravicius
The motivation for this paper is the study of the phase transition for recurrence/transience of a class of self-interacting random walks on trees, which includes the once-reinforce…
math.PR2017★ 2 cited
On the speed of once-reinforced biased random walk on trees
Andrea Collevecchio, Mark Holmes, Daniel Kious
We study the asymptotic behaviour of once-reinforced biased random walk (ORbRW) on Galton-Watson trees. Here the underlying (unreinforced) random walk has a bias towards or away fr…