Ergodicity of cocyles over 2-dimensional rotations
Dynamical Systems
2025-01-28 v1
Abstract
We study recurrence and ergodicity of cocycles with values in R d , d 1, over rotations by badly approximable irrational numbers on T , \> 1. The discontinuities of the functions generating the cocycles also satisfy a Diophantine condition. For simplicity of notation we mainly consider the cases = 2, d = 1 and 2.
Cite
@article{arxiv.2501.15905,
title = {Ergodicity of cocyles over 2-dimensional rotations},
author = {Nicolas Chevallier and Jean-Pierre Conze},
journal= {arXiv preprint arXiv:2501.15905},
year = {2025}
}