Rational weak mixing in infinite measure spaces

Research output: Contribution to journalArticlepeer-review

Abstract

Rational weak mixing is a measure theoretic version of Krickeberg's strong ratio mixing property for infinite measure preserving transformations. It requires 'density' ratio convergence for every pair of measurable sets in a dense hereditary ring. Rational weak mixing implies weak rational ergodicity and (spectral) weak mixing. It is enjoyed for example by Markov shifts with Orey's strong ratio limit property. The power, subsequence version of the property is generic.

Original languageEnglish
Pages (from-to)1611-1643
Number of pages33
JournalErgodic Theory and Dynamical Systems
Volume33
Issue number6
DOIs
StatePublished - Dec 2013

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