Stability of Lyapunov exponents

F. Ledrappier; L. S. Young

doi:10.1017/S0143385700006283

Stability of Lyapunov exponents

F. Ledrappier, L. S. Young

Mathematics

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

Abstract

We consider small random perturbations of matrix cocycles over Lipschitz homeomorphisms of compact metric spaces. Lyapunov exponents are shown to be stable provided that our perturbations satisfy certain regularity conditions. These results are applicable to dynamical systems, particularly to volume-preserving diffeomorphisms.

Original language	English (US)
Pages (from-to)	469-484
Number of pages	16
Journal	Ergodic Theory and Dynamical Systems
Volume	11
Issue number	3
DOIs	https://doi.org/10.1017/S0143385700006283
State	Published - Sep 1991

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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title = "Stability of Lyapunov exponents",

abstract = "We consider small random perturbations of matrix cocycles over Lipschitz homeomorphisms of compact metric spaces. Lyapunov exponents are shown to be stable provided that our perturbations satisfy certain regularity conditions. These results are applicable to dynamical systems, particularly to volume-preserving diffeomorphisms.",

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year = "1991",

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Stability of Lyapunov exponents

Abstract

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