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arXiv · 1208.3161

On Rationally Ergodic and Rationally Weakly Mixing Rank-One Transformations

Irving Dai·Xavier Garcia·Tudor Pădurariu·Cesar E. Silva
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Abstract

We study the notions of weak rational ergodicity and rational weak mixing as defined by Jon Aaronson. We prove that various families of infinite measure-preserving rank-one transformations possess (or do not posses) these properties, and consider their relation to other notions of mixing in infinite measure.

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Irving Dai, Xavier Garcia, Tudor Pădurariu, Cesar E. Silva. 2013-07-14. On Rationally Ergodic and Rationally Weakly Mixing Rank-One Transformations. https://doi.org/10.1017/etds.2013.96

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