A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf
.
A note on percolation in cocycle measures
[chapter]
2006
Institute of Mathematical Statistics Lecture Notes - Monograph Series
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.
doi:10.1214/074921706000000059
fatcat:xuhng5nuzre75gxtsghzz5rg6m