12 citations · 18 across the 6 of their papers we have counts for
6 papers
Scaling limits of stochastic processes associated with resistance forms
D. A. Croydon
We establish that if a sequence of spaces equipped with resistance metrics and measures converge with respect to the Gromov-Hausdorff-vague topology, and a certain non-explosion co…
Time-changes of stochastic processes associated with resistance forms
D. A. Croydon, B. M. Hambly, T. Kumagai
Given a sequence of resistance forms that converges with respect to the Gromov-Hausdorff-vague topology and satisfies a uniform volume doubling condition, we show the convergence o…
Moduli of continuity of local times of random walks on graphs in terms of the resistance metric
David A. Croydon
In this article, universal concentration estimates are established for the local times of random walks on weighted graphs in terms of the resistance metric. As a particular applica…
Biased random walk on critical Galton-Watson trees conditioned to survive
David A. Croydon, Alexander Fribergh, Takashi Kumagai
We consider the biased random walk on a critical Galton-Watson tree conditioned to survive, and confirm that this model with trapping belongs to the same universality class as cert…
Slow movement of a random walk on the range of a random walk in the presence of an external field
David Croydon
In this article, a localisation result is proved for the biased random walk on the range of a simple random walk in high dimensions (d \geq 5). This demonstrates that, unlike in th…
Spectral asymptotics for stable trees
David Croydon, Ben Hambly
We calculate the mean and almost-sure leading order behaviour of the high frequency asymptotics of the eigenvalue counting function associated with the natural Dirichlet form on $α…