A priori bounds for C 2 homeomorphisms of the circle

Authors

  • Edson de Faria Universidade de São Paulo. Instituto de Matemática e Estatística

DOI:

https://doi.org/10.11606/resimeusp.v1i4.74676

Keywords:

Scaling ratios, Poincare metric, Renormalization

Abstract

In this paper we establish C2 a-priori bounds for the scaling ratios of critical circle mappings in a form that gives also a compactness property for the renormalization operator.

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Author Biography

  • Edson de Faria, Universidade de São Paulo. Instituto de Matemática e Estatística
    In this paper we establish C2 a-priori bounds for the scaling ratios of critical circle mappings in a form that gives also a compactness property for the renormalization operator.

References

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Published

1994-05-01

Issue

Vol. 1 No. 4 (1994)

Section

Contents

License

Copyright (c) 1994 Edson de Faria

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

How to Cite

A priori bounds for C 2 homeomorphisms of the circle. (1994). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 1(4), 487-493. https://doi.org/10.11606/resimeusp.v1i4.74676