Asymptotic rigidity of scaling ratios for critical circle mappings

Details Asymptotic rigidity of scaling ratios for critical circle mappings Asymptotic rigidity of scaling ratios for critical circle mappings

1996-11-15

arxiv.org/abs/math/9611216v1

Mathematics

Dynamical Systems

Scientific paper

In this paper we establish $C^2$ 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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