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Polynomial decay of correlations for almost Anosov diffeomorphisms

Published online by Cambridge University Press:  17 August 2017

XU ZHANG  and
HUYI HU
XU ZHANG
Affiliation:
Department of Mathematics, Shandong University, Weihai, Shandong 264209, China email xuzhang08@gmail.com
HUYI HU
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA email hu@math.msu.edu
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Abstract

We investigate the polynomial lower and upper bounds for decay of correlations of a class of two-dimensional almost Anosov diffeomorphisms with respect to their Sinai–Ruelle–Bowen (SRB) measures. The degrees of the bounds are determined by the expansion and contraction rates as the orbits approach the indifferent fixed point, and are expressed by using coefficients of the third-order terms in the Taylor expansions of the diffeomorphisms at the indifferent fixed point.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 39 , Issue 3 , March 2019 , pp. 832 - 864
Copyright
© Cambridge University Press, 2017 

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