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arxiv: math/9611216 · v1 · submitted 1996-11-15 · 🧮 math.DS

Asymptotic rigidity of scaling ratios for critical circle mappings

classification 🧮 math.DS
keywords circlecriticalmappingsratiosscalinga-prioriasymptoticbounds
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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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