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Stability of Lyapunov exponents

Published online by Cambridge University Press:  19 September 2008

F. Ledrappier  and
L.-S. Young
F. Ledrappier
Affiliation:
Laboratoire de Probabilités, Université Paris VI, 4, Place Jussieu, Tour 56, F-75232 Paris Cedex 05, France
L.-S. Young
Affiliation:
Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 11 , Issue 3 , September 1991 , pp. 469 - 484
Copyright
Copyright © Cambridge University Press 1991

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References

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