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Publicação
Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum
Orientador(es)
Resumo(s)
In this paper we prove that the class of accessible and saddle-conservative cocycles (a wide class which includes cocycles evolving in GL(d,R), SL(d,R) and Sp(d,R)) Lp-densely have a simple spectrum. We also prove that for an Lp-residual subset of accessible cocycles we have a one-point spectrum. Finally, we show that the linear differential system versions of previous results also hold and give some applications.
Descrição
Palavras-chave
Linear cocycles Linear differential systems Multiplicative ergodic theorem Lyapunov exponents
Contexto Educativo
Citação
M. Bessa, H. Vilarinho, Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum, 256, 7, 2337-2367, 2014
Editora
Elsevier