Measurable recurrence and quasi-invariant measures

Saharon Shelah; Benjamin Weiss

doi:10.1007/BF02761726

Measurable recurrence and quasi-invariant measures

Saharon Shelah^*, Benjamin Weiss

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We characterize the wandering sets of a Borel automorphism T as being precisely those sets which have measure zero for every non-atomic measure μ which is quasi-invariant and ergodic for T.

Original language	English
Pages (from-to)	154-160
Number of pages	7
Journal	Israel Journal of Mathematics
Volume	43
Issue number	2
DOIs	https://doi.org/10.1007/BF02761726
State	Published - Jun 1982

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title = "Measurable recurrence and quasi-invariant measures",

abstract = "We characterize the wandering sets of a Borel automorphism T as being precisely those sets which have measure zero for every non-atomic measure μ which is quasi-invariant and ergodic for T.",

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Measurable recurrence and quasi-invariant measures

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