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

页码：554 / 591

页数：38

共 44 条

[1]

[Anonymous], 1997, Encyclopedia of Mathematics and its Applications

[2]

[Anonymous], 1982, Ergodic Theory and Dynamical Systems

[3]

Anosov D.V., 1974, IZV AKAD NAUK SSSR M, V38, P518

[4]

Arnold L., 1998, RANDOM DYNAMICAL SYS, DOI [10.1007/978-3-662-12878-7, DOI 10.1007/978-3-662-12878-7]