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Subsequence bounded rational ergodicity of rank-one transformations. (English) Zbl 1351.37035
Summary: We show that all rank-one transformations are subsequence boundedly rationally ergodic, and that there exist rank-one transformations that are not weakly rationally ergodic.

MSC:
37A40 Nonsingular (and infinite-measure preserving) transformations
37A05 Dynamical aspects of measure-preserving transformations
37A25 Ergodicity, mixing, rates of mixing
37A30 Ergodic theorems, spectral theory, Markov operators
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