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Publicação
On the Lyapunov spectrum of infinite dimensional random products of compact operators
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Orientador(es)
Resumo(s)
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 Hausdorff space X and preserves a Borel regular ergodic probability which is positive on non-empty open sets, we conclude that there is a C0-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 −∞.
Descrição
Palavras-chave
Random operators Dominated splitting Multiplicative ergodic theorem Lyapunov exponents
Contexto Educativo
Citação
M. Bessa, M. Carvalho, On the Lyapunov spectrum of infinite dimensional random products of compact operators, Stochastics and Dynamics, 8, 4, 593-611, 2011
Editora
World Scientific