| Full text | |
| Author(s): |
San Martin, Luiz A. B.
;
Seco, Lucas
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Ergodic Theory and Dynamical Systems; v. 30, p. 30-pg., 2010-06-01. |
| Abstract | |
In this paper we study characteristic exponents of flows in relation with the dynamics of flows on flag bundles. The starting point is a flow on a principal bundle with semi-simple group G. Projection against the lwasawa decomposition G = K AN defines an additive cocycic over the flow with values in a = log A Its Lyapunov exponents (limits along trajectories) and Morse exponents (limits along chains) are studied. A symmetric property of these spectral sets is proved, namely invariance under the Weyl group We also prove that these sets are located in certain Weyl chambers. defined from the dynamics on the associated flag bundles. As a special case linear flows on vector bundles are considered. (AU) | |
| FAPESP's process: | 02/10246-2 - Control systems, dynamical systems, stochastic dynamical systems, Lie theory and differential geometry |
| Grantee: | Luiz Antonio Barrera San Martin |
| Support Opportunities: | Research Projects - Thematic Grants |