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Anosov and circle diffeomorphisms

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Abstract(s)

We present an infinite dimensional space of C1+ smooth conjugacy classes of circle diffeomorphisms that are C1+ fixed points of renormalization. We exhibit a one-to-one correspondence between these C1+ fixed points of renormalization and C1+ conjugacy classes of Anosov diffeomorphisms.

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Anosov diffeomorphisms Circle diffeomorphism Renormalization

Citation

Almeida, João P.; Fisher, Albert M.; Pinto, Alberto A.; Rand, David A.(2011) - Anosov and circle diffeomorphisms. In International Conference on Dynamical Systems and Game Theory in Honor of Mauricio Peixoto and David Rand e Peixoto, Mauricio Matos; Pinto, Alberto adregor; Rand, David A. (editors). Dynamics, Games and Science I. [S.l.] Springer. p. 11-24. ISBN 978-3-642-11455-7

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