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A note on percolation in cocycle measures

Ronald Meester
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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.

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Ronald Meester. 2006-08-09. A note on percolation in cocycle measures. https://doi.org/10.1214/074921706000000059

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