26 citations · 44 across the 4 of their papers we have counts for
4 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…
Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree
M. T. Barlow, D. A. Croydon, T. Kumagai
The first main result of this paper is that the law of the (rescaled) two-dimensional uniform spanning tree is tight in a space whose elements are measured, rooted real trees conti…
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…