(Dis)continuity of Lyapunov exponents-Reference-Cited by-同舟云学术

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(Dis)continuity of Lyapunov exponents

Published:2018-08-10 Issue:3 Volume:40 Page:577-611
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

VIANA MARCELO

Abstract

A survey of recent results on the dependence of Lyapunov exponents on the underlying data.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference66 articles.

1. Lyapunov indices of a product of random matrices;Gol’dsheid;Uspekhi Mat. Nauk,1989

2. A dynamical proof of the multiplicative ergodic theorem

3. Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents

4. Analycity properties of the characteristic exponents of random matrix products

5. Physical measures and absolute continuity for one-dimensional center direction

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1. Regularity with Respect to the Parameter of Lyapunov Exponents for Diffeomorphisms with Dominated Splitting;Memoirs of the American Mathematical Society;2024-08

2. Learning Theory for Dynamical Systems;SIAM Journal on Applied Dynamical Systems;2023-08-08

3. Positive Lyapunov Exponent in the Hopf Normal Form with Additive Noise;Communications in Mathematical Physics;2023-06-26

4. The Continuity Problem of Lyapunov Exponents;New Trends in Lyapunov Exponents;2023

5. Continuity properties of Lyapunov exponents for surface diffeomorphisms;Inventiones mathematicae;2022-07-05

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