Invariant ρ-percolation on regular trees

Itai Benjamini; Ori Gurel-Gurevich

doi:10.1090/conm/719/14466

Invariant ρ-percolation on regular trees

Itai Benjamini, Ori Gurel-Gurevich

Einstein Institute of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Given an invariant bond percolation on the d-regular tree, where the probability of an edge to be open equals p, is it always possible to find, with positive probability, an infinite self-avoiding path along which the density of open edges is bigger than p? We give positive answer when d ≥ 4 and explore related questions.

Original language	English
Title of host publication	Contemporary Mathematics
Publisher	American Mathematical Society
Pages	29-32 Que
DOIs	https://doi.org/10.1090/conm/719/14466
State	Published - 2018

Publication series

Name	Contemporary Mathematics
Volume	719
ISSN (Print)	0271-4132
ISSN (Electronic)	1098-3627

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©2018 Amerian Mathematial Soiety.

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10.1090/conm/719/14466

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Invariant ρ-percolation on regular trees

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