3 citations · 7 across the 6 of their papers we have counts for
7 papers
Biased random walk on supercritical percolation: Anomalous fluctuations in the ballistic regime
Adam M. Bowditch, David A. Croydon
We study biased random walk on the infinite connected component of supercritical percolation on the integer lattice for . For this model, Fribergh and Hammo…
The two-dimensional continuum random field Ising model
Adam Bowditch, Rongfeng Sun
In this paper we construct the two-dimensional continuum random field Ising model via scaling limits of a random field perturbation of the critical two-dimensional Ising model with…
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…
Non-Gaussian fluctuations of randomly trapped random walks
Adam Bowditch
In this paper we consider the one-dimensional, biased, randomly trapped random walk when the trapping times have infinite variance. We prove sufficient conditions for the suitably…
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…
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…
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…