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Generic properties about entropy and Hausdorff dimensions for area preserving diffeomorphisms of surfaces
Full text
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| Author(s): |
Thiago Aparecido Catalan
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2008-02-28 |
| Examining board members: |
Ali Tahzibi;
Daniel Smania Brandão;
Lorenzo Justiniano Diaz Casado
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| Advisor: | Ali Tahzibi |
| Abstract | |
We present two generic properties of \'C POT.1\" area preserving diffeomorphisms of a two dimensional compact oriented surface. We obtain a lower bound for the topological entropy of a generic diffeomorphisms, and we show that such a diffeomorphism always has closed invariant sets with dense orbits and Hausdorff dimension two (AU) | |