Almost Every Real Quadratic Map Is Either Regular or Stochastic
نویسندگان
چکیده
منابع مشابه
Almost Every Real Quadratic Map Is Either Regular or Stochastic
Stony Brook IMS Preprint #1997/8 July, 1997 Abstract. We prove uniform hyperbolicity of the renormalization operator for all possible real combinatorial types. We derive from it that the set of infinitely renormalizable parameter values in the real quadratic family Pc : x 7→ x 2 + c has zero measure. This yields the statement in the title (where “ regular” means to have an attracting cycle and ...
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ژورنال
عنوان ژورنال: The Annals of Mathematics
سال: 2002
ISSN: 0003-486X
DOI: 10.2307/3597183