Math Seminars
T. Persson
(Lund)
Absolutely continuous invariant measures for some piecewise hyperbolic affine maps
A fairly general class of non-invertible piecewise affine hyperbolic
maps on bounded subsets of the plane is considered. If a map from this
class is sufficiently area-expanding, then almost surely, in the sence
of parameters, this map has an ergodic measure that is absolutely
continuous with respect to the Lebesgue measure.