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On multiple recurrence and other properties of ‘nice’ infinite measure-preserving transformations

Published online by Cambridge University Press:  12 February 2016

JON AARONSON  and
HITOSHI NAKADA
JON AARONSON
Affiliation:
School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel email [email protected]
HITOSHI NAKADA
Affiliation:
Department of Mathematics, Keio University, Hiyoshi 3-14-1 Kohoku, Yokohama 223, Japan email [email protected]
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Abstract

We discuss multiple versions of rational ergodicity and rational weak mixing for ‘nice’ transformations, including Markov shifts, certain interval maps and hyperbolic geodesic flows. These properties entail multiple recurrence.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 37 , Issue 5 , August 2017 , pp. 1345 - 1368
Copyright
© Cambridge University Press, 2016 

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