Cox渗流的急剧相变

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Electronic Communications in Probability Pub Date : 2022-01-01 DOI:10.1214/22-ecp487

C. Hirsch, B. Jahnel, S. Muirhead

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引用次数: 2

摘要

我们证明了一类Cox渗流模型，即随机环境下连续渗流模型的渗流相变的锐性。关键要求是环境具有有限的依赖范围，满足局部有界条件，并且可以由一个离散的iid随机场构造，但FKG不等式不需要成立。该证明将OSSS不等式与粗粒度结构结合起来，使我们能够比较不同的影响概念。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Sharp phase transition for Cox percolation

We prove the sharpness of the percolation phase transition for a class of Cox percolation models, i.e., models of continuum percolation in a random environment. The key requirements are that the environment has a ﬁnite range of dependence, satisﬁes a local boundedness condition and can be constructed from a discrete iid random ﬁeld, however the FKG inequality need not hold. The proof combines the OSSS inequality with a coarse-graining construction that allows us to compare different notions of inﬂuence.

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来源期刊

Electronic Communications in Probability 工程技术-统计学与概率论

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Electronic Communications in Probability (ECP) publishes short research articles in probability theory. Its sister journal, the Electronic Journal of Probability (EJP), publishes full-length articles in probability theory. Short papers, those less than 12 pages, should be submitted to ECP first. EJP and ECP share the same editorial board, but with different Editors in Chief.