Expanding actions: minimality and ergodicity
Dynamical Systems
2018-01-04 v3
Abstract
We prove that every expanding minimal semigroup action of diffeomorphisms of a compact manifold (resp. conformal) is robustly minimal (resp. ergodic with respect to Lebesgue measure). We also show how, locally, a blending region yields the robustness of the minimality and implies ergodicity.
Cite
@article{arxiv.1307.6054,
title = {Expanding actions: minimality and ergodicity},
author = {Pablo G. Barrientos and Abbas Fakhari and Dominique Malicet and Ali Sarizadeh},
journal= {arXiv preprint arXiv:1307.6054},
year = {2018}
}