On the effect of adding epsilon-Bernoulli percolation to everywhere percolating subgraphs of Z(d)

Authors
Benjamini, I Haggstrom, O Schramm, O
Citation
I. Benjamini et al., On the effect of adding epsilon-Bernoulli percolation to everywhere percolating subgraphs of Z(d), J MATH PHYS, 41(3), 2000, pp. 1294-1297
Citations number
7
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
41
Issue
3
Year of publication
2000
Pages
1294 - 1297
Database
ISI
SICI code
0022-2488(200003)41:3<1294:OTEOAE>2.0.ZU;2-W
Abstract
We show that adding epsilon-Bernoulli percolation to an everywhere percolat ing subgraph of Z(2) results in a graph which has large scale geometry simi lar to that of supercritical Bernoulli percolation, in various specific sen ses. We conjecture similar behavior in higher dimensions. (C) 2000 American Institute of Physics. [S0022-2488(00)01603-0].