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
收藏
页码：1102 / 1122
页数：21
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