Rigidity for piecewise smooth homeomorphisms on the circle

Autor(es)

Cunha, Kleyber ^[1] ; Smania, Daniel ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Bahia, Dept Matemat, BR-40170110 Salvador, BA - Brazil

^[2] ICMC USP, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: ADVANCES IN MATHEMATICS; v. 250, p. 193-226, JAN 15 2014.
• Citações Web of Science: 13

Resumo

We find conditions for two piecewise C2+v homeomorphisms f and g of the circle to be C-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. (C) 2013 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 08/02841-4 - Teoria topológica, geométrica e ergódica dos sistemas dinâmicos
• Beneficiário: Jorge Manuel Sotomayor Tello
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 10/08654-1 - Propriedades espectrais do operador de renormalização
• Beneficiário: Daniel Smania Brandão
• Modalidade de apoio: Auxílio à Pesquisa - Regular