| Full text | |
| Author(s): |
Alves, Luciana A.
;
San Martin, Luiz A. B.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Ergodic Theory and Dynamical Systems; v. 36, p. 30-pg., 2016-06-01. |
| Abstract | |
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) | |
| FAPESP's process: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |