July, 2024 Quenched invariance principle for a reflecting diffusion in a continuum percolation cluster
Yutaka TAKEUCHI
Author Affiliations +
J. Math. Soc. Japan 76(3): 921-949 (July, 2024). DOI: 10.2969/jmsj/89198919
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.

Copyright ©2024 Mathematical Society of Japan
Yutaka TAKEUCHI "Quenched invariance principle for a reflecting diffusion in a continuum percolation cluster," Journal of the Mathematical Society of Japan 76(3), 921-949, (July, 2024). https://doi.org/10.2969/jmsj/89198919
Received: 3 April 2022; Published: July, 2024
JOURNAL ARTICLE
29 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

Vol.76 • No. 3 • July, 2024
Back to Top