English

Percolation sur le syst\`eme \`a trois points

Dynamical Systems 2007-09-04 v1

Abstract

The three dot system is an action by homeomorphisms of Z2\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.

Keywords

Cite

@article{arxiv.0709.0239,
  title  = {Percolation sur le syst\`eme \`a trois points},
  author = {Jean-François Quint},
  journal= {arXiv preprint arXiv:0709.0239},
  year   = {2007}
}
R2 v1 2026-06-21T09:13:19.787Z