Invariant ρ-percolation on regular trees

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-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 languageEnglish
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Pages29-32 Que
DOIs
StatePublished - 2018

Publication series

NameContemporary Mathematics
Volume719

All Science Journal Classification (ASJC) codes

  • General Mathematics

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