Positive measure sets of ergodic rational maps
نویسندگان
چکیده
منابع مشابه
Ergodic Theory for Markov Fibred Systems and Parabolic Rational Maps
A parabolic rational map of the Riemann sphere admits a nonatomic /¡-conformai measure on its Julia set where h = the HausdorfT dimension of the Julia set and satisfies 1/2 < h < 2 . With respect to this measure the rational map is conservative, exact and there is an equivalent cr-finite invariant measure. Finiteness of the measure is characterised. Central limit theorems are proved in the case...
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ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 1986
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.1511