Rational ergodicity, bounded rational ergodicity and some continuous measures on the circle

J. Aaronson*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Two ratio limit concepts for transformations preserving infinite measures, rational ergodicity and bounded rational ergodicity, are discussed and compared. The concept of rational ergodicity is used to construct some continuous measures on the circle, which show that the exceptional set in the weak mixing theorem may be rather large.

Original languageEnglish
Pages (from-to)181-197
Number of pages17
JournalIsrael Journal of Mathematics
Volume33
Issue number3-4
DOIs
StatePublished - Sep 1979
Externally publishedYes

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