Absolutely continuous invariant measures for some piecewise hyperbolic affine maps

2005/10/31 by Tomas Persson, Persson, Tomas
Mathematics · #37D50 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:37D50

paper · pdf · doi:10.48550/arxiv.math/0510673

18 pages, 1 figure

arxiv created 2005/10/31 · arxiv updated 2009/12/01

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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