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Rational ergodicity of Step function Skew Products
Published 27 Mar 2017 in math.DS, math.NT, and math.PR | (1703.09003v2)
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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