Anosov diffeomorphisms

João P. Almeida; Albert M. Fisher; Alberto Adrego Pinto; David A. Rand

doi:10.3934/proc.2013.2013.837

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2013, Volume 2013: 837-845. Doi: 10.3934/proc.2013.2013.837 open access

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Anosov diffeomorphisms

1.
LIAAD-INESC TEC and Department of Mathematics, School of Technology and Management, Polytechnic Institute of Bragança, Campus de Santa Apolónia, Ap. 1134, 5301-857 Bragança
2.
Departamento de Matemática, IME-USP, Caixa Postal 66281, CEP 05315-970 São Paulo
3.
LIAAD-INESC TEC and Department of Mathematics, Faculty of Sciences, University of Porto, Rua do Campo Alegre, 4169-007 Porto
4.
Warwick Systems Biology & Mathematics Institute, University of Warwick, Coventry CV4 7AL

Received: September 2012

Revised: October 2013

Published: October 2013

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Abstract

We use Adler, Tresser and Worfolk decomposition of Anosov automorphisms to give an explicit construction of the stable and unstable $C^{1+}$ self-renormalizable sequences.

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Mathematics Subject Classification: Primary: 37D20; Secondary: 37E10.

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References

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