中文

Absolutely Continuous Invariant Measures for Nonuniformly Expanding Maps

动力系统 2007-05-23 v1

摘要

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.

关键词

引用

@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}
}