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arXiv:math/0510673 [math.DS]AbstractReferencesReviewsResources

Absolutely continuous invariant measures for some piecewise hyperbolic affine maps

Tomas Persson

Published 2005-10-31Version 1

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.

Comments: 18 pages, 1 figure
Categories: math.DS
Subjects: 37D50
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