Abstract

AbstractWe 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.KeywordsConjugacy ClassRotation NumberLeaf SegmentLocal HomeomorphismMarkov PartitionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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