Anosov and circle diffeomorphisms

We present an infinite dimensional space of $C^{1+}$  smooth conjugacy classes of circle diffeomorphisms that are C^{1+}  fixed points of renormalization. We exhibit a one-to-one correspondence between these C^{1+} fixed points of renormalization and C^{1+}  conjugacy classes of Anosov diffeomorphis...

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Bibliographic Details
Main Author: J. P. Almeida (author)
Other Authors: A. M. Fisher (author), Alberto A. Pinto (author), D. A. Rand (author)
Format: book
Language:eng
Published: 2011
Subjects:
Online Access:https://repositorio-aberto.up.pt/handle/10216/101075
Country:Portugal
Oai:oai:repositorio-aberto.up.pt:10216/101075
Description
Summary:We present an infinite dimensional space of $C^{1+}$  smooth conjugacy classes of circle diffeomorphisms that are C^{1+}  fixed points of renormalization. We exhibit a one-to-one correspondence between these C^{1+} fixed points of renormalization and C^{1+}  conjugacy classes of Anosov diffeomorphisms.