Absolutely Continuous Invariant Measures for Nonuniformly Expanding Maps
Huyi Hu, Sandro Vaienti
Abstract
For a large class of nonuniformly expanding maps of Rm, with indifferent fixed points and unbounded distorsion and non necessarily Markovian, we construct an absolutely continuous invariant measure. We extend to our case techniques previously used for expanding maps on quasi-Hölder spaces. We give general conditions and provide examples to which apply our result.
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