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math.PR2016★ 4 cited
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…
math.PR2016★ 2 cited
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…