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arXiv · 2310.05482

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

Yutaka Takeuchi
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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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Yutaka Takeuchi. 2023-10-09. Local Central Limit Theorem for Reflecting Diffusions in a Continuum Percolation Cluster. https://arxiv.org/abs/2310.05482

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