Infinite symmetric ergodic index and related examples in infinite measure

DOI10.4064/SM170330-9-9zbMath1395.37006arXiv1702.01455OpenAlexW2962759257MaRDI QIDQ4565112

Ben Athiwaratkun, Isaac Loh, Cesar E. Silva

Publication date: 7 June 2018

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.01455

zbMATH Keywords

mixingergodicinfinite measureinfinite ergodic index

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodicity, mixing, rates of mixing (37A25) Nonsingular (and infinite-measure preserving) transformations (37A40)

Cites Work

• Unnamed Item
• Weak rational ergodicity does not imply rational ergodicity
• Power weakly mixing infinite transformations
• Rank-one weak mixing for nonsingular transformations
• Infinite measure preserving transformations with Radon MSJ
• Infinite rank one actions and nonsingular Chacon transformations
• Power weak mixing does not imply multiple recurrence in infinite measure and other counterexamples
• Rank-one power weakly mixing non-singular transformations
• Finite ergodic index and asymmetry for infinite measure preserving actions
• Ergodicity and conservativity of products of infinite transformations and their inverses
• Strict doubly ergodic infinite transformations
• Infinite measure preserving transformations with “mixing”

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