Author:
DAI IRVING,GARCIA XAVIER,PĂDURARIU TUDOR,SILVA CESAR E.
Abstract
AbstractWe study the notions of weak rational ergodicity and rational weak mixing as defined by J. Aaronson [Rational ergodicity and a metric invariant for Markov shifts.Israel J. Math. 27(2) (1977), 93–123; Rational weak mixing in infinite measure spaces.Ergod. Th. & Dynam. Sys.2012, to appear.http://arxiv.org/abs/1105.3541]. We prove that various families of infinite measure-preserving rank-one transformations possess or do not posses these properties, and consider their relation to other notions of mixing in infinite measure.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference15 articles.
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