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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.)

Rigidity 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: ADVANCES IN MATHEMATICS; v. 250, p. 193-226, JAN 15 2014.
Web of Science Citations: 13
Abstract

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)

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