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

2017/07/28 by Henk Bruin, Bruin, Henk, Dalia Terhesiu +1 · 1 citation
Mathematics · #37A25 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:37A25

paper · pdf · doi:10.48550/arxiv.1707.09221

Some mistakes corrected and font enlarged (hence the extra pages)

arxiv created 2018/01/14 · arxiv updated 2018/01/16

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.

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