Rigidity of C2 Infinitely Renormalizable Unimodal Maps
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- de Melo, W. & Pinto, A. Comm Math Phys (1999) 208: 91. doi:10.1007/s002200050749
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Given C2 infinitely renormalizable unimodal maps f and g with a quadratic critical point and the same bounded combinatorial type, we prove that they are C1+α conjugate along the closure of the corresponding forward orbits of the critical points, for some α>0.