Local Central Limit Theorem for Reflecting Diffusions in a Continuum Percolation Cluster
Probability
2024-03-08 v2 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.2310.05482,
title = {Local Central Limit Theorem for Reflecting Diffusions in a Continuum Percolation Cluster},
author = {Yutaka Takeuchi},
journal= {arXiv preprint arXiv:2310.05482},
year = {2024}
}
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37 pages