Absolutely continuous invariant measures for some piecewise hyperbolic affine maps

Details Absolutely continuous invariant measures for some piecewise hyperbolic affine maps Absolutely continuous invariant measures for some piecewise hyperbolic affine maps

2005-10-31

arxiv.org/abs/math/0510673v1

Mathematics

Dynamical Systems

18 pages, 1 figure

Scientific paper

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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