English

Absolutely Continuous Invariant Measures for Nonuniformly Expanding Maps

Dynamical Systems 2007-05-23 v1

Abstract

For a large class of nonuniformly expanding maps of Rm\Bbb R^m, 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-H\"{o}lder spaces. We give general conditions and provide examples to which apply our result.

Keywords

Cite

@article{arxiv.math/0510527,
  title  = {Absolutely Continuous Invariant Measures for Nonuniformly Expanding Maps},
  author = {Huyi Hu and Sandro Vaienti},
  journal= {arXiv preprint arXiv:math/0510527},
  year   = {2007}
}