Subsequence bounded rational ergodicity of rank-one transformations

DOI10.1080/14689367.2014.970518zbMath1351.37035arXiv1310.5084OpenAlexW1995277535MaRDI QIDQ5175399

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Publication date: 20 February 2015

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.5084

zbMATH Keywords

ergodicrationally ergodicrank-one transformationsinfinite-measure preserving

Mathematics Subject Classification ID

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

Related Items (5)

Weak rational ergodicity does not imply rational ergodicity ⋮ Non-rigid rank-one infinite measures on the circle ⋮ Nearly finite Chacon transformation ⋮ Partially bounded transformations have trivial centralizers ⋮ Ergodicity and conservativity of products of infinite transformations and their inverses

Cites Work

• Rational ergodicity, bounded rational ergodicity and some continuous measures on the circle
• Rational ergodicity and a metric invariant for Markov shifts
• Rational weak mixing in infinite measure spaces
• Weakly mixing rank-one transformations conjugate to their squares
• The commutant is the weak closure of the powers, for rank-1 transformations
• On category of mixing in infinite measure spaces

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