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ON THE LYAPUNOV SPECTRUM OF INFINITE DIMENSIONAL RANDOM PRODUCTS OF COMPACT OPERATORS

Title
ON THE LYAPUNOV SPECTRUM OF INFINITE DIMENSIONAL RANDOM PRODUCTS OF COMPACT OPERATORS
Type
Article in International Scientific Journal
Year
2008
Authors
Mario Bessa
(Author)
Other
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Maria Carvalho
(Author)
FCUP
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Journal
Vol. 8
Pages: 593-611
ISSN: 0219-4937
Publisher: World Scientific
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-003-TS5
Abstract (EN): We consider an infinite dimensional separable Hilbert space and its family of compact integrable cocycles over a dynamical system f. Assuming that f acts in a compact Hausdor. space X and preserves a Borel regular ergodic probability which is positive on non-empty open sets, we conclude that there is a C-0-residual subset of cocycles within which, for almost every x, either the Oseledets-Ruelle's decomposition along the orbit of x is dominated or all the Lyapunov exponents are equal to -infinity.
Language: English
Type (Professor's evaluation): Scientific
Contact: bessa@fc.up.pt; mpcarval@fc.up.pt
No. of pages: 19
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