Percolation sur le système à trois points

Details Percolation sur le système à trois points Percolation sur le système à trois points

2007-09-03

arxiv.org/abs/0709.0239v1

Mathematics

Dynamical Systems

Scientific paper

The three dot system is an action by homeomorphisms of $\mathbb Z^2$ on a
compact space, which invariant measures are supposed to satisfy rigidity
properties analoguous to the ones of invariant measures of angle doubling and
tripling on the circle. For such measures, we establish a dichotomy which is
related to percolation properties.

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