Physical measures for partially hyperbolic surface endomorphisms

Masato Tsujii

Physical measures for partially hyperbolic surface endomorphisms

动力系统 2007-05-23 v2 概率论

作者: Masato Tsujii

摘要

We consider dynamical systems generated by partially hyperbolic surface endomorphisms of class C^r with one-dimensional strongly unstable subbundle. As the main result, we prove that such a dynamical system generically admits finitely many ergodic physical measures whose union of basins of attraction has total Lebesgue measure, provided that r>= 19.

关键词

partially hyperbolic dynamics ergodic theory hyperbolic geometry

引用

@article{arxiv.math/0301243,
  title  = {Physical measures for partially hyperbolic surface endomorphisms},
  author = {Masato Tsujii},
  journal= {arXiv preprint arXiv:math/0301243},
  year   = {2007}
}

备注

72pages, no figures

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