Rational ergodicity of Step function Skew Products
Dynamical Systems
2021-04-14 v2 Number Theory
Probability
Abstract
We study rational step function skew products over certain rotations of the circle proving ergodicity and bounded rational ergodicity when rotation number is a quadratic irrational. The latter arises from a consideration of the asymptotic temporal statistics of an orbit as modelled by an associated affine random walk.
Cite
@article{arxiv.1703.09003,
title = {Rational ergodicity of Step function Skew Products},
author = {Jon. Aaronson and Michael Bromberg and Nishant Chandgotia},
journal= {arXiv preprint arXiv:1703.09003},
year = {2021}
}
Comments
Revised version after refereeing