A note on percolation in cocycle measures
Probability
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We describe infinite clusters which arise in nearest-neighbour percolation for so-called cocycle measures on the square lattice. These measures arise naturally in the study of random transformations. We show that infinite clusters have a very specific form and direction. In concrete situations, this leads to a quick decision whether or not a certain cocycle measure percolates. We illustrate this with two examples which are interesting in their own right.
Cite
@article{arxiv.math/0608217,
title = {A note on percolation in cocycle measures},
author = {Ronald Meester},
journal= {arXiv preprint arXiv:math/0608217},
year = {2007}
}
Comments
Published at http://dx.doi.org/10.1214/074921706000000059 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)