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Linear cocycles with simple Lyapunov spectrum are dense in $L^\infty$

Published online by Cambridge University Press:  01 December 1999

LUDWIG ARNOLD and
NGUYEN DINH CONG
LUDWIG ARNOLD
Affiliation:
Institute for Dynamical Systems, University of Bremen, PO Box 330 440, 28334 Bremen, Germany (e-mail: arnold@math.uni-bremen.de)
NGUYEN DINH CONG
Affiliation:
Institute for Dynamical Systems, University of Bremen, PO Box 330 440, 28334 Bremen, Germany (e-mail: arnold@math.uni-bremen.de)Institute for Applied Mathematics, University of Heidelberg, Germany (e-mail: cong@math.uni-bremen.de)
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Abstract

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We prove that the set of linear cocycles with simple Lyapunov spectrum is dense in the space of all linear cocycles equipped with the uniform topology.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 6 , December 1999, pp. 1389 - 1404
Copyright
1999 Cambridge University Press