Quenched Invariance Principle for a Reflecting Diffusion in a Continuum Percolation Cluster
Probability
2023-06-28 v2
Abstract
We consider a continuum percolation built over stationary ergodic point processes. Assuming that the occupied region has a unique unbounded cluster and the cluster satisfies volume regularity and isoperimetric condition, we prove a quenched invariance principle for reflecting diffusions on the cluster.
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Cite
@article{arxiv.2204.01288,
title = {Quenched Invariance Principle for a Reflecting Diffusion in a Continuum Percolation Cluster},
author = {Yutaka Takeuchi},
journal= {arXiv preprint arXiv:2204.01288},
year = {2023}
}
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32 pages