Induced maps of Bernoulli dynamical systems
Nicol, Matthew (2001) Induced maps of Bernoulli dynamical systems Discrete and Continuous Dynamical Systems, 7 . pp. 147-154.
Let (f, Tn, mu) be a linear hyperbolic automorphism of the n-torus. We show that if A ⊂ Tn 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.
|Additional Information:||First published in Discrete and Continuous Dynamical Systems, 7, 147-154. © 2001 American Institute of Mathematial Sciences.|
|Uncontrolled Keywords:||Induced map, Bernoulli dynamical system|
|Divisions:||Faculty of Engineering and Physical Sciences > Mathematics|
|Deposited By:||Mr Adam Field|
|Deposited On:||27 May 2010 15:40|
|Last Modified:||28 Sep 2012 10:50|
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