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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 OF CRITICAL CIRCLE MAPS

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Author(s):
Guarino, Pablo [1] ; Martens, Marco [2] ; de Melo, Welington [3]
Total Authors: 3
Affiliation:
[1] Univ Fed Fluminense, Inst Matemat & Estat, Rio De Janeiro - Brazil
[2] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 - USA
[3] Inst Matematica Pura & Aplicada, Rio De Janeiro - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Duke Mathematical Journal; v. 167, n. 11, p. 2125-2188, AUG 15 2018.
Web of Science Citations: 0
Abstract

We prove that any two C-4 critical circle maps with the same irrational rotation number and the same odd criticality are conjugate to each other by a C-1 circle diffeomorphism. The conjugacy is C1+alpha for a full Lebesgue measure set of rotation numbers. (AU)

FAPESP's process: 12/06614-8 - Renormalization and rigidity in one-dimensional dynamics
Grantee:Pablo Andrés Guarino Quiñones
Support Opportunities: Scholarships in Brazil - Post-Doctoral