Hausdorff dimension and conformal dynamics II: Geometrically finite rational maps
نویسندگان
چکیده
منابع مشابه
Hausdorff Dimension and Conformal Dynamics II: Geometrically Finite Rational Maps
This paper investigates several dynamically defined dimensions for rational maps f on the Riemann sphere, providing a systematic treatment modeled on the theory for Kleinian groups. We begin by defining the radial Julia set Jrad(f), and showing that every rational map satisfies H. dimJrad(f) = α(f) where α(f) is the minimal dimension of an f -invariant conformal density on the sphere. A rationa...
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 2000
ISSN: 0010-2571,1420-8946
DOI: 10.1007/s000140050140