Dynamics of transformations coupled with interval exchange transformations
Probabilistic and algebraic aspects of smooth dynamical systems
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Universality for smooth piecewise homeomorphism of the circle
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| Author(s): |
Kleyber Mota da Cunha
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2011-02-15 |
| Examining board members: |
Daniel Smania Brandão;
André Salles de Carvalho;
Eduardo Colli;
Benito Frazão Pires;
Ali Tahzibi
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| Advisor: | Daniel Smania Brandão |
| Abstract | |
In this work we find sufficient conditions for two piecewise \'C POT. 2+\' homeomorphisms f and g of the circle to be \'C POT. 1\' conjugate. Besides the restrictions on the combinatorics of the maps (we assume that the maps have the same bounded combinatorics) and necessary conditions on the one-side derivatives of points where f and g are not differentiable, we also assume zero mean nonlinearity for f and g. The proof relies on the detailed study of the renormalizations of genus one generalized interval exchange maps with certain restrictions on their combinatorics (AU) | |
| FAPESP's process: | 07/01045-7 - Dynamics of transformations coupled with interval exchange transformations |
| Grantee: | Kleyber Mota da Cunha |
| Support Opportunities: | Scholarships in Brazil - Doctorate |