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