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Regular variation and rates of mixing for infinite measure preserving almost Anosov diffeomorphisms

Part of: Ergodic theory Special processes

Published online by Cambridge University Press:  10 August 2018

HENK BRUIN  and
DALIA TERHESIU
HENK BRUIN
Affiliation:
Faculty of Mathematics, University of Vienna, Oskar Morgensternplatz 1, 1090 Vienna, Austria email [email protected]
DALIA TERHESIU
Affiliation:
Department of Mathematics, Harrison Building Streatham Campus, University of Exeter, North Park Road, Exeter EX4 4QF, UK email [email protected]
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Abstract

The purpose of this paper is to establish mixing rates for infinite measure preserving almost Anosov diffeomorphisms on the two-dimensional torus. The main task is to establish regular variation of the tails of the first return time to the complement of a neighbourhood of the neutral fixed point.

MSC classification

Primary: 37A25: Ergodicity, mixing, rates of mixing
Secondary: 37A40: Nonsingular (and infinite-measure preserving) transformations 37A50: Relations with probability theory and stochastic processes 60K05: Renewal theory
Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 40 , Issue 3 , March 2020 , pp. 663 - 698
Copyright
© Cambridge University Press, 2018 

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