4.3 Article

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

Journal

ERGODIC THEORY AND DYNAMICAL SYSTEMS
Volume 40, Issue 3, Pages 663-698

Publisher

CAMBRIDGE UNIV PRESS
DOI: 10.1017/etds.2018.58

Keywords

37A25 (Primary); 37A40; 37A50; 60K05 (Secondary)

Funding

  1. AOU (Aktion Osterreich-Ungarn) [92ou6]

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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.

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