Renormalization for piecewise smooth homeomorphisms on the circle
| Autor: | Kleyber Cunha, Daniel Smania |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Zero mean
Renormalization Pure mathematics Mathematics::Dynamical Systems 37E10 37E05 37E20 37C05 37B10 Applied Mathematics Dynamical Systems (math.DS) Interval exchange transformations Universality Homeomorphism on the circle Universality (dynamical systems) Nonlinear system FOS: Mathematics Piecewise SISTEMAS DINÂMICOS Piecewise affine Mathematics - Dynamical Systems Convergence Rauzy–Veech induction Mathematical Physics Analysis Mathematics |
| Zdroj: | Repositório Institucional da UFBA Universidade Federal da Bahia (UFBA) instacron:UFBA Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP |
| ISSN: | 1873-1430 0294-1449 |
| DOI: | 10.1016/j.anihpc.2012.09.004 |
| Popis: | In this work we study the renormalization operator acting on piecewise smooth homeomorphisms on the circle, that turns out to be essentially the study of Rauzy-Veech renormalizations of generalized interval exchanges maps with genus one. In particular we show that renormalizations of such maps with zero mean nonlinearity and satisfying certain smoothness and combinatorial assumptions converges to the set of piecewise affine interval exchange maps. 34 pages |
| Databáze: | OpenAIRE |
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