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arXiv · 2204.01288

Quenched Invariance Principle for a Reflecting Diffusion in a Continuum Percolation Cluster

Yutaka Takeuchi
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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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Yutaka Takeuchi. 2022-04-04. Quenched Invariance Principle for a Reflecting Diffusion in a Continuum Percolation Cluster. https://arxiv.org/abs/2204.01288

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