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Livšic measurable rigidity for $ \mathcal{C}^1$ generic volume-preserving Anosov systems


Author: Yun Yang
Journal: Proc. Amer. Math. Soc. 144 (2016), 1119-1127
MSC (2010): Primary 37C20
DOI: https://doi.org/10.1090/proc12762
Published electronically: August 26, 2015
MathSciNet review: 3447665
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Abstract: In this paper, we prove that for $ \mathcal {C}^1$ generic volume-preserving Anosov diffeomorphisms of a compact connected Riemannian manifold, the Livšic measurable rigidity theorem holds. We also give a parallel result for $ \mathcal {C}^1$ generic volume-preserving Anosov flows.


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Additional Information

Yun Yang
Affiliation: School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China
Email: yangy88@pku.edu.cn

DOI: https://doi.org/10.1090/proc12762
Keywords: Liv\v{s}ic measurable rigidity, Central Limit Theorem
Received by editor(s): November 13, 2014
Received by editor(s) in revised form: February 13, 2015
Published electronically: August 26, 2015
Communicated by: Yingfei Yi
Article copyright: © Copyright 2015 American Mathematical Society