On the effect of adding epsilon-Bernoulli percolation to everywhere percolating subgraphs of Z^d
Probability
2009-10-31 v1 Mathematical Physics
math.MP
Abstract
We show that adding epsilon-Bernoulli percolation to an everywhere percolating subgraph of Z^2 results in a graph which has large scale geometry similar to that of supercritical Bernoulli percolation, in various specific senses. We conjecture similar behavior in higher dimensions.
Keywords
Cite
@article{arxiv.math/9906002,
title = {On the effect of adding epsilon-Bernoulli percolation to everywhere percolating subgraphs of Z^d},
author = {Itai Benjamini and Olle Häggström and Oded Schramm},
journal= {arXiv preprint arXiv:math/9906002},
year = {2009}
}
Comments
Author home pages: http://www.wisdom.weizmann.ac.il/~itai http://www.math.chalmers.se/~olleh http://www.wisdom.weizmann.ac.il/~schramm