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arXiv · 1703.09003

Rational ergodicity of Step function Skew Products

Jon. Aaronson·Michael Bromberg·Nishant Chandgotia
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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.

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Jon. Aaronson, Michael Bromberg, Nishant Chandgotia. 2017-03-27. Rational ergodicity of Step function Skew Products. https://arxiv.org/abs/1703.09003

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