Absolutely continuous invariant measures for some piecewise hyperbolic affine maps

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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.
18 pages, 1 figure

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Dynamical Systems, 37D50

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http://salesiana.dossiersoluciones.com/handle/123456789/103890

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510673
 http://arxiv.org/abs/math/0510673

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arXiv