Flexibility of Lyapunov exponents

被引：5
|
作者：
Bochi, J. [1 ,2 ]
Katok, A.
Hertz, F. Rodriguez [2 ]
机构：
[1] Pontificia Univ Catolica Chile, Fac Matemat, Ave Vicuna Mackenna 4860, Santiago, Chile
[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2022年 / 42卷 / 02期
基金：
美国国家科学基金会;
关键词：
flexibility; Lyapunov exponents; dominated splittings; Anosov diffeomorphisms; PARTIALLY HYPERBOLIC DIFFEOMORPHISMS; METRIC ENTROPY; FOLIATIONS; RIGIDITY; INFIMUM;
D O I：
10.1017/etds.2021.78
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：554 / 591
页数：38
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