弱衰变体系中的非均质长程渗流

IF 1.5 1区数学 Q2 STATISTICS & PROBABILITY

Probability Theory and Related Fields Pub Date : 2024-05-15 DOI:10.1007/s00440-024-01281-5

Christian Mönch

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引用次数: 0

摘要

我们研究了欧几里得空间中的一类渗滤模型，包括长程渗滤、无标度渗滤、依赖权重的随机连接模型和其他一些以前研究过的模型。我们的研究重点是弱衰减机制，在该机制下，簇间长程连接概率以小指数多项式下降，我们为该机制建立了几个结构特性。其中最主要的是键渗流函数的连续性和无限簇的瞬时性。

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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Inhomogeneous long-range percolation in the weak decay regime

We study a general class of percolation models in Euclidean space including long-range percolation, scale-free percolation, the weight-dependent random connection model and several other previously investigated models. Our focus is on the weak decay regime, in which inter-cluster long-range connection probabilities fall off polynomially with small exponent, and for which we establish several structural properties. Chief among them are the continuity of the bond percolation function and the transience of infinite clusters.

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来源期刊

Probability Theory and Related Fields 数学-统计学与概率论

CiteScore

3.70

自引率

5.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Probability Theory and Related Fields publishes research papers in modern probability theory and its various fields of application. Thus, subjects of interest include: mathematical statistical physics, mathematical statistics, mathematical biology, theoretical computer science, and applications of probability theory to other areas of mathematics such as combinatorics, analysis, ergodic theory and geometry. Survey papers on emerging areas of importance may be considered for publication. The main languages of publication are English, French and German.