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.
Available under License : See the attached licence file.
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.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|Date :||June 2012|
|Identification Number :||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 :||23 Sep 2013 19:31|
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