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arXiv · 1501.02719

On multiple recurrence and other properties of "nice" infinite measure preserving transformations

Jon Aaronson·Hitoshi Nakada
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Abstract

We discuss multiple versions of rational ergodicity and rational weak mixing for "nice" transformations, including Markov shifts, certain interval maps and hyperbolic geodesic flows. These properties entail multiple recurrence.

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Jon Aaronson, Hitoshi Nakada. 2015-01-12. On multiple recurrence and other properties of "nice" infinite measure preserving transformations. https://doi.org/10.1017/etds.2015.108

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