Rigidity for piecewise smooth homeomorphisms on the circle


Autoria(s): Cunha, Kleyber; Brandão, Daniel Smania
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

08/04/2014

08/04/2014

15/01/2014

Resumo

We find conditions for two piecewise 'C POT.2+V' 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 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.

FAPESP processo 07/01045-7, 2008/02841-4 e 2010/08654-1

CNPq processo 310964/2006-7, 303669/2009-8 e 305537/2012-1

Identificador

Advances in Mathematics, San Diego, v.250, p.193-226, 2014

http://www.producao.usp.br/handle/BDPI/44413

10.1016/j.aim.2013.09.017

http://dx.doi.org/10.1016/j.aim.2013.09.017

Idioma(s)

eng

Publicador

Elsevier

Academic Press

San Diego

Relação

Advances in Mathematics

Direitos

restrictedAccess

Copyright Elsevier

Palavras-Chave #Renormalization #Interval exchange transformations #Rauzy–Veech induction #Universality #Homeomorphism on the circle #Convergence #TEORIA ERGÓDICA #DINÂMICA UNIDIMENSIONAL #SISTEMAS DINÂMICOS
Tipo

article

original article

publishedVersion