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Induced maps of Bernoulli dynamical systems

Nicol, Matthew (2001) Induced maps of Bernoulli dynamical systems Discrete and Continuous Dynamical Systems, 7. pp. 147-154.


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Let (f, Tn, mu) be a linear hyperbolic automorphism of the n-torus. We show that if ATn has a boundary which is a finite union of C1 submanifolds which have no tangents in the stable (Es) or unstable (Eu) direction then the induced map on A, (fA,A, muA) is also Bernoulli. We show that Poincáre maps for uniformly transverse C1 Poincáre sections in smooth Bernoulli Anosov flows preserving a volume measure are Bernoulli if they are also transverse to the strongly stable and strongly unstable foliation.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Nicol, Matthew
Date : 1 January 2001
Uncontrolled Keywords : Induced map, Bernoulli dynamical system
Additional Information : First published in Discrete and Continuous Dynamical Systems, 7, 147-154. © 2001 American Institute of Mathematial Sciences.
Depositing User : Mr Adam Field
Date Deposited : 27 May 2010 14:40
Last Modified : 31 Oct 2017 14:01

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