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Liv\v{s}ic Measurable Rigidity Theorem for \mathcal{C}^1 Generic Volume-preserving Systems

Dynamical Systems 2014-11-03 v1

Abstract

In this paper, we prove that for C1\mathcal{C}^1 generic volume-preserving Anosov diffeomorphisms of a compact Riemannian manifold, Liv\v{s}ic measurable rigidity theorem holds. We also prove that for C1\mathcal{C}^1 generic volume-preserving Anosov flows of a compact Riemannian manifold, Liv\v{s}ic measurable rigidity theorem holds.

Keywords

Cite

@article{arxiv.1410.8631,
  title  = {Liv\v{s}ic Measurable Rigidity Theorem for \mathcal{C}^1 Generic Volume-preserving Systems},
  author = {Yun Yang},
  journal= {arXiv preprint arXiv:1410.8631},
  year   = {2014}
}

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9 Pages