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Stability of mixing and rapid mixing for hyperbolic flows

Field, M, Melbourne, I and Torok, A (2007) Stability of mixing and rapid mixing for hyperbolic flows ANNALS OF MATHEMATICS, 166 (1). 269 - 291. ISSN 0003-486X


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We obtain general results on the stability of mixing and rapid mixing (superpolynomial decay of correlations) for hyperbolic flows. Amongst Cr Axiom A flows, r ≥ 2, we show that there is a C2-open, Cr-dense set of flows for which each nontrivial hyperbolic basic set is rapid mixing. This is the first general result on the stability of rapid mixing (or even mixing) for Axiom A flows that holds in a Cr, as opposed to H¨older, topology.

Item Type: Article
Uncontrolled Keywords: Science & Technology, Physical Sciences, Mathematics, ANOSOV-FLOWS, DYNAMICAL-SYSTEMS, THEOREM, DECAY, AXIOM
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Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:40
Last Modified: 23 Sep 2013 18:32

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