连续渗流团簇中反射扩散的淬灭不变性原理

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Mathematical Society of Japan Pub Date : 2023-10-03 DOI:10.2969/jmsj/89198919

Yutaka TAKEUCHI

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引用次数: 1

摘要

我们考虑建立在平稳遍历点过程上的连续渗流。假设被占领区域具有唯一的无界星团，且该星团满足体积正则性和等周期条件，证明了星团上反射扩散的淬灭不变性原理。

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Quenched invariance principle for a reflecting diffusion in a continuum percolation cluster

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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来源期刊

Journal of the Mathematical Society of Japan 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Mathematical Society of Japan (JMSJ) was founded in 1948 and is published quarterly by the Mathematical Society of Japan (MSJ). It covers a wide range of pure mathematics. To maintain high standards, research articles in the journal are selected by the editorial board with the aid of distinguished international referees. Electronic access to the articles is offered through Project Euclid and J-STAGE. We provide free access to back issues three years after publication (available also at Online Index).