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arxiv: 1208.3161 · v2 · pith:VF6ZMPEWnew · submitted 2012-08-15 · 🧮 math.DS

On Rationally Ergodic and Rationally Weakly Mixing Rank-One Transformations

classification 🧮 math.DS
keywords mixinginfinitenotionsrank-onerationalrationallytransformationsweak
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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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