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Local Central Limit Theorem for Reflecting Diffusions in a Continuum Percolation Cluster

Published 9 Oct 2023 in math.PR and math.AP | (2310.05482v2)

Abstract: Reflecting diffusions on continuum percolation clusters are considered. Assuming that the occupied region has a unique unbounded cluster and the cluster satisfies geometrical conditions such as volume regularity, isoperimetric conditions, and a hole size condition, we prove a quenched local central limit theorem for reflecting diffusions on the cluster.

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Authors (1)

  1. Yutaka Takeuchi 

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