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Absolutely continuous invariant measures for some piecewise hyperbolic affine maps

Tomas Persson
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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.

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Tomas Persson. 2005-10-31. Absolutely continuous invariant measures for some piecewise hyperbolic affine maps. https://arxiv.org/abs/math/0510673

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