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https://repositorio.ufba.br/handle/ri/13694
metadata.dc.type: | Artigo de Periódico |
Title: | Renormalization for piecewise smooth homeomorphisms on the circle |
Other Titles: | Annales de l'Institut Henri Poincaré (C) Non Linear Analysis |
Authors: | Cunha, Kleyber Smania, Daniel |
metadata.dc.creator: | Cunha, Kleyber Smania, Daniel |
Abstract: | 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 exchange maps with genus one. In particular we show that renormalizations of such maps with zero mean nonlinearity and satisfying certain smoothness and combinatorial assumptions converge to the set of piecewise affine interval exchange maps. |
Keywords: | Renormalization Interval exchange transformations Rauzy–Veech induction Universality Homeomorphism on the circle Convergence |
metadata.dc.publisher.country: | Brasil |
Publisher: | Annales de l'Institut Henri Poincaré (C) Non Linear Analysis |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/13694 |
Issue Date: | 2013 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
Files in This Item:
File | Description | Size | Format | |
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666666666.pdf_7 | 281,37 kB | Adobe PDF | View/Open |
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