Dynamics, smooth rigidity and ergodic properties of hyperbolic maps and flows
Invariance entropy of control systems on flag manifolds and homogeneous spaces
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Entropy and Lie groups actions
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| Author(s): |
Thiago Fanelli Ferraiol
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2012-10-12 |
| Examining board members: |
Luiz Antonio Barrera San Martin;
Ali Tahzibi;
Josiney Alves de Souza;
Lorenzo Justiniano Díaz Casado;
Pedro Jose Catuogno
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| Advisor: | Luiz Antonio Barrera San Martin |
| Abstract | |
In this thesis we present results about regularity of Lyapunov Exponents via a Lie Theory approach. The generalization of Lyapunov Exponents for flows in flag bundles is used to obtain the differenciability of certain linear combinations of the Lyapunov spectra. This specific combinations that are differentiable are determined by the caracterization of the finest Morse decomposition of the flows on flag bundles. The differenciability is taken with respect to the perturbation of the flow by elements in the gauge group of the principal bundle (AU) | |
| FAPESP's process: | 07/07610-8 - Transformation groups and dynamical systems on fiber bundles |
| Grantee: | Thiago Fanelli Ferraiol |
| Support Opportunities: | Scholarships in Brazil - Doctorate |