Non-uniform hyperbolicity in complex dynamics
نویسندگان
چکیده
منابع مشابه
Non-uniform Hyperbolicity in Complex Dynamics I, II
We say that a rational function F satisfies the summability condition with exponent α if for every critical point c which belongs to the Julia set J there exists a positive integer nc so that ∑∞ n=1 |(Fn)′(Fnc(c)|−α < ∞ and F has no parabolic periodic cycles. Let μmax be the maximal multiplicity of the critical points. The objective is to study the Poincaré series for a large class of rational ...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2008
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-008-0152-8