Flexibility of Lyapunov exponents

J. Bochi; A. Katok; F. Rodriguez Hertz

doi:10.1017/etds.2021.78

Flexibility of Lyapunov exponents

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	554-591
Number of pages	38
Journal	Ergodic Theory and Dynamical Systems
Volume	42
Issue number	2
DOIs	https://doi.org/10.1017/etds.2021.78
State	Published - Feb 18 2022

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1017/etds.2021.78

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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.",

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Flexibility of Lyapunov exponents

Abstract

All Science Journal Classification (ASJC) codes

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