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math.DS2026
Dual mixing and quasi-mixing of inner function restrictions
Jon Aaronson
Dual quasi-mixing and dual mixing of a measure preserving transformation are uniform individual ratio limit properties of the transfer operator which entail the quasi-mixing and mi…
math.DS2024
Extravagance, irrationality and Diophantine approximation
Jon Aaronson, Hitoshi Nakada
For an invariant probability measure for the Gauss map, almost all numbers are Diophantine if the log of the partial quotient function is integrable. We show that with respect to a…
math.DS2004★ 12 cited
Exchangeable measures for subshifts
J. Aaronson, H. Nakada, O. Sarig
Let $\Om$ be a Borel subset of where is countable. A measure is called exchangeable on $\Om$, if it is supported on $\Om$ and is invariant under every Borel automorp…