Stability of mixing rates for Axiom A attractors
Abstract
There is a classical result that Axiom A attracting diffeomorphisms f:MmapstoM have exponential decay of correlations with respect to the SinaiRuelleBowen measure mu^{(f)} on an attractor Lambda. Following continuity results of BlankKellerLiverani (2002 RuellePerronFrobenius spectrum for Anosov maps Nonlinearity 15 190573) we shall describe settings where the rates of mixing are more regular (i.e. differentiable, smooth, etc).
 Publication:

Nonlinearity
 Pub Date:
 March 2003
 DOI:
 10.1088/09517715/16/2/312
 Bibcode:
 2003Nonli..16..567P