1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.PR2020
The speed of a biased random walk on a Galton-Watson tree is analytic
Adam Bowditch, Yuki Tokushige
We prove that the speed of a biased random walk on a supercritical Galton-Watson tree conditioned to survive is analytic within the ballistic regime. This extends the previous work…
math.PR2017
A quenched central limit theorem for biased random walks on supercritical Galton-Watson trees
Adam Bowditch
In this note, we prove a quenched functional central limit theorem for a biased random walk on a supercritical Galton-Watson tree with leaves. This extends a result of Peres and Ze…
math.PR2016★ 1 cited
Central limit theorems for biased randomly trapped random walks on Z
Adam Bowditch
We prove CLTs for biased randomly trapped random walks in one dimension. In particular, we will establish an annealed invariance principal by considering a sequence of regeneration…