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Absolutely continuous invariant measures for some piecewise hyperbolic affine maps

Published online by Cambridge University Press:  01 February 2008

TOMAS PERSSON
TOMAS PERSSON*
Affiliation:
Centre for Mathematical Sciences, Lund University, Box 118, SE-22100 Lund, Sweden (email: [email protected])
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Abstract

A class of piecewise affine hyperbolic maps on a bounded subset of the plane is considered. It is shown that if a map from this class is sufficiently area-expanding then almost surely this map has an absolutely continuous invariant measure.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 28 , Issue 1 , February 2008 , pp. 211 - 228
Copyright
Copyright © Cambridge University Press 2007

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