| Texto completo | |
| Autor(es): |
Alves, Luciana A.
;
San Martin, Luiz A. B.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Ergodic Theory and Dynamical Systems; v. 36, p. 30-pg., 2016-06-01. |
| Resumo | |
Let Q -> X be a continuous principal bundle whose group G is reductive. A flow phi of automorphisms of Q endowed with an ergodic probability measure on the compact base space X induces two decompositions of the flag bundles associated to Q: a continuous one given by the finest Morse decomposition and a measurable one furnished by the multiplicative ergodic theorem. The second is contained in the first. In this paper we find necessary and sufficient conditions so that they coincide. The equality between the two decompositions implies continuity of the Lyapunov spectra under perturbations leaving unchanged the flow on the base space. (AU) | |
| Processo FAPESP: | 06/60031-3 - Fluxos em fibrados sobre espaços homogêneos |
| Beneficiário: | Luciana Aparecida Alves |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |
| Processo FAPESP: | 12/18780-0 - Geometria de sistemas de controle, sistemas dinâmicos e estocásticos |
| Beneficiário: | Marco Antônio Teixeira |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |