Absolutely Continuous Invariant Measures for Nonuniformly Expanding Maps

@inproceedings{Hu2012AbsolutelyCI,
  title={Absolutely Continuous Invariant Measures for Nonuniformly Expanding Maps},
  author={Huyi Hu and S. Vaienti},
  year={2012}
}
For a large class of nonuniformly expanding maps of R, 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. 0 Introduction A challenge problem in smooth ergodic theory is to construct invariant measures for multidimensional maps T with some… CONTINUE READING

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