CONDITIONAL PERCOLATION ON ONE-DIMENSIONAL LATTICES

被引：5

作者：

Axelson-Fisk, Marina ^{[1
]}

Haggstrom, Olle ^{[1
]}

机构：

[1] Chalmers Univ Technol, SE-41296 Gothenburg, Sweden

来源：

ADVANCES IN APPLIED PROBABILITY | 2009年 / 41卷 / 04期

基金：

瑞典研究理事会;

关键词：

Conditional percolation; stochastic domination; one-dimensional lattice; Markov chain; CLUSTER; WALK;

D O I：

10.1239/aap/1261669588

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Conditioning independent and identically distributed bond percolation with retention parameter p on a one-dimensional periodic lattice on the event of having a bi-infinite path from -infinity to infinity is shown to make sense, and the resulting model exhibits a Markovian structure that facilitates its analysis. Stochastic monotonicity in p turns out to fail in general for this model, but a weaker monotonicity property does hold: the average edge density is increasing in p.

引用

页码：1102 / 1122

页数：21

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