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

共 50 条

[21] Solitons in One-Dimensional Lattices with a Flat Band
Bercioux, Dario
Dutta, Omjyoti
Rico, Enrique
ANNALEN DER PHYSIK, 2017, 529 (09)
[22] Governing soliton splitting in one-dimensional lattices
Fratalocchi, A
Assanto, G
PHYSICAL REVIEW E, 2006, 73 (04):
[23] Spin dynamics in one-dimensional optical lattices
Zhang, Huirong
Zhai, Yueyang
Chen, Xuzong
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2014, 47 (02)
[24] Diffraction by one-dimensional paracrystals and perturbed lattices
Millane, RP
Eads, JL
ACTA CRYSTALLOGRAPHICA SECTION A, 2000, 56 : 497 - 506
[25] Topological superconductors in one-dimensional mosaic lattices
Zeng, Qi-Bo
Lu, Rong
You, Li
EPL, 2021, 135 (01)
[26] Connes' distance function on one-dimensional lattices
Dimakis, A
Muller-Hoissen, F
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1998, 37 (03) : 907 - 913
[27] One-dimensional optical lattices and impenetrable bosons
Cazalilla, M.A.
Physical Review A - Atomic, Molecular, and Optical Physics, 2003, 67 (05): : 536061 - 536064
[28] Lifting of Gibbs states in one-dimensional lattices
Meson, Alejandro
Vericat, Fernando
JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2011, 14 (01) : 1 - 13
[29] On the anomalous thermal conductivity of one-dimensional lattices
Lepri, S
Livi, R
Politi, A
EUROPHYSICS LETTERS, 1998, 43 (03): : 271 - 276
[30] Adiabaticity and Localization in One-Dimensional Incommensurate Lattices
Edwards, E. E.
Beeler, M.
Hong, Tao
Rolston, S. L.
PHYSICAL REVIEW LETTERS, 2008, 101 (26)

← 1 2 3 4 5 →