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Mathematics
Dynamical Systems
Absolutely continuous invariant measures for some piecewise hyperbolic affine maps
Tomas Persson
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.
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Submitted on 31 Oct 2005
Updated
arXiv.org
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