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- W4297914446 abstract "We extend the notion of rational ergodicity to $beta$-rational ergodicity for $beta > 1$. Given $beta in mathbb R$ such that $beta > 1$, we construct an uncountable family of rank-one infinite measure preserving transformations that are weakly rationally ergodic, but are not $beta$-rationally ergodic. The established notion of rational ergodicity corresponds to 2-rational ergodicity. Thus, this paper answers an open question by showing that weak rational ergodicity does not imply rational ergodicity." @default.
- W4297914446 created "2022-10-01" @default.
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- W4297914446 date "2015-02-23" @default.
- W4297914446 modified "2023-09-29" @default.
- W4297914446 title "Weak Rational Ergodicity Does Not Imply Rational Ergodicity" @default.
- W4297914446 doi "https://doi.org/10.48550/arxiv.1502.06566" @default.
- W4297914446 hasPublicationYear "2015" @default.
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