2 papers
math.PR2019
Differentiability of the speed of biased random walks on Galton-Watson trees
Adam Bowditch, Yuki Tokushige
We prove that the speed of a -biased random walk on a supercritical Galton-Watson tree is differentiable for such that the walk is ballistic and obeys a central limit theore…
math.PR2016
Escape regimes of biased random walks on Galton-Watson trees
Adam Bowditch
We study biased random walk on subcritical and supercritical Galton-Watson trees conditioned to survive in the transient, sub-ballistic regime. By considering offspring laws with i…