Absence of Infinite Cluster for Critical Bernoulli Percolation on Slabs-Reference-Cited by-同舟云学术

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Absence of Infinite Cluster for Critical Bernoulli Percolation on Slabs

Published:2016-04-09 Issue:7 Volume:69 Page:1397-1411
ISSN:0010-3640
Container-title:Communications on Pure and Applied Mathematics
language:en
Short-container-title:Commun. Pur. Appl. Math.

Author:

Duminil Hugo¹,Sidoravicius Vladas²³⁴,Tassion Vincent¹

Affiliation:

1. Département de mathématiques; Université de Genéve; 2-4 rue du liévre Case postale 64 1211 Genéve 4 Switzerland

2. IMPA, Estr. Dona Castorina 110; 22460-320 Rio de Janeiro RJ Brasil

3. Courant Institute; 251 Mercer St. New York NY 10012 USA

4. NYU-ECNU Mathematics Research Institute; NYU-Shanghai

Publisher

Wiley

Subject

Applied Mathematics,General Mathematics

Reference21 articles.

1. Aizenman , M. Duminil-Copin , H. Sidoravicius , V. Random currents and continuity of Ising model's spontaneous magnetization 2013

2. Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation;Aizenman;Comm. Math. Phys.,1987

3. Discontinuity of the percolation density in one-dimensional 1/|x−y|2 percolation models;Aizenman;Comm. Math. Phys.,1986

4. Continuum percolation with steps in the square or the disc;Balister;Random Structures Algorithms,2005

5. Dynamic Renormalization and Continuity of the Percolation Transition in Orthants

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