Unique ergodicity of asynchronous rotations, and application
Dynamical Systems
2017-01-09 v2
Abstract
The main result of this paper is an analogue for a continuous family of tori of Kronecker-Weyl's unique ergodicity of irrational rotations. We show that the notion corresponding in this setup to irrationality, namely asynchronicity, is satisfied in some homogeneous dynamical systems. This is used to prove the ergodicity of naturals lifts of invariant measures.
Cite
@article{arxiv.1609.04581,
title = {Unique ergodicity of asynchronous rotations, and application},
author = {François Maucourant},
journal= {arXiv preprint arXiv:1609.04581},
year = {2017}
}
Comments
Version 2 contains a much simplified, and shorter proof of Theorem 1. The results are unchanged