Abstract:
Given C 2 infinitely renormalizable unimodal maps f and g with a quadratic critical point and the same bounded combinatorial type, we prove that they are C 1+α conjugate along the closure of the corresponding forward orbits of the critical points, for some α>0.
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Received: 16 March 1999 / Accepted: 21 May 1999
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de Melo, W., Pinto, A. Rigidity of C 2 Infinitely Renormalizable Unimodal Maps. Comm Math Phys 208, 91–105 (1999). https://doi.org/10.1007/s002200050749
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DOI: https://doi.org/10.1007/s002200050749