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Convergence of moments for Axiom A and non-uniformly hyperbolic flows

Melbourne, I and Toeroek, A (2012) Convergence of moments for Axiom A and non-uniformly hyperbolic flows ERGODIC THEORY AND DYNAMICAL SYSTEMS, 32 (3). pp. 1091-1100.

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In the paper, we prove convergence of moments of all orders for Axiom A diffeomorphisms and flows. The same results hold for non-uniformly hyperbolic diffeomorphisms and flows modelled by Young towers with superpolynomial tails. For polynomial tails, we prove convergence of moments up to a certain order, and give examples where moments diverge when this order is exceeded. Non-uniformly hyperbolic systems covered by our result include Hénon-like attractors, Lorenz attractors, semidispersing billiards, finite horizon planar periodic Lorentz gases, and Pomeau–Manneville intermittency maps.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Melbourne, I
Toeroek, A
Date : June 2012
DOI : 10.1017/S0143385711000174
Related URLs :
Additional Information : Copyright 2012 Cambridge University Press. Reproduced with permission.
Depositing User : Symplectic Elements
Date Deposited : 26 Jul 2012 12:15
Last Modified : 31 Oct 2017 14:38

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