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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Renormalization for piecewise smooth homeomorphisms on the circle

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Author(s):
Cunha, Kleyber [1] ; Smania, Daniel [2]
Total Authors: 2
Affiliation:
[1] Univ Fed Bahia, Dept Matemat, BR-40170110 Salvador, BA - Brazil
[2] ICMC USP, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: ANNALES DE L' INSTITUT HENRI POINCARÉ-ANALYSE NON LINÉAIRE; v. 30, n. 3, p. 441-462, MAY-JUN 2013.
Web of Science Citations: 8
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. Crown Copyright (C) 2012 Published by Elsevier Masson SAS. All rights reserved. (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
FAPESP's process: 08/02841-4 - Topology, geometry and ergodic theory of dynamical systems
Grantee:Jorge Manuel Sotomayor Tello
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 10/08654-1 - Spectral properties of the renormalization operator
Grantee:Daniel Smania Brandão
Support Opportunities: Regular Research Grants