English

A density version for H\"aggstr\"om's theorem

Probability 2017-02-16 v1

Abstract

Given invariant percolation on a regular tree, where the probability of an edge to be open equals pp, is it always possible to find an infinite self-avoiding path along which the density of open edges is bigger then pp?

Cite

@article{arxiv.1702.04688,
  title  = {A density version for H\"aggstr\"om's theorem},
  author = {Itai Benjamini and Ori Gurel-Gurevich},
  journal= {arXiv preprint arXiv:1702.04688},
  year   = {2017}
}
R2 v1 2026-06-22T18:19:24.870Z