University of Surrey

Test tubes in the lab Research in the ATI Dance Research

Induced maps of Bernoulli dynamical systems

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

[img]
Preview
PDF
fulltext.pdf

Download (142Kb)

Abstract

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
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
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:40
Last Modified: 23 Sep 2013 18:32
URI: http://epubs.surrey.ac.uk/id/eprint/1378

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800