Flexibility of Lyapunov exponents

Flexibility of Lyapunov exponents
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DOI:
10.1017/etds.2021.78
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发表时间:
2019-08
影响因子:
0.9
通讯作者:
J. Bochi;A. Katok;F. RODRIGUEZ HERTZ
J. Bochi;A. Katok;F. RODRIGUEZ HERTZ
中科院分区:
数学2区
文献类型:
--
作者:
J. Bochi;A. Katok;F. RODRIGUEZ HERTZ

文献摘要

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摘要我们概述了光滑动力学中的柔性程序,重点讨论了体积保持型同构的李雅普诺夫指数的柔性。我们证明了灵活性的Anosov同构承认主导分裂成一维丛的结果。
Abstract We outline the flexibility program in smooth dynamics, focusing on flexibility of Lyapunov exponents for volume-preserving diffeomorphisms. We prove flexibility results for Anosov diffeomorphisms admitting dominated splittings into one-dimensional bundles.