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Generalized dynamical variables and measures for the Julia sets

Обобщенные динамиче ские переменные и вел ичины для систем Джулиа

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Il Nuovo Cimento B (1971-1996)

Summary

We give rigorous estimates of the dimensions, entropies, characteristic exponents and scaling function of hyperbolic Julia sets, for any Gibbs measure, by the direct computations of the topological pressure.

Riassunto

Tramite il calcolo diretto della pressione topologica sono fornite stime rigorose su dimensioni generalizzate, entropie, indici di Lyapunov e funzioni di scala di Julia sets iperbolici per una misura di Gibbs qualsiasi.

Резюме

Используя непосредс твенные вычисления топологического дав ления, мы приводим строгие о ценки размеров, энтро пии, характерных показат елей экспонент и функции п одобия для гиперболи ческих систем Джулиа, для про извольной меры Гиббса. Затем пре дложенный метод обоб щается на случай негиперболич еских систем Джулиа.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università degli Studi di Bologna, Via Irnerio 46, Bologna, Italia

    G. Servizi & G. Turchetti

  2. Centre de Physique Théorique, Luminy, Marseille, France

    S. Vaienti

  3. Laboratoire propre du CNRS e Dipartimento di Fisica deU’Università, Bologna, Italia

    S. Vaienti

Authors
  1. G. Servizi
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  2. G. Turchetti
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  3. S. Vaienti
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Servizi, G., Turchetti, G. & Vaienti, S. Generalized dynamical variables and measures for the Julia sets. Nuov Cim B 101, 285–307 (1988). https://doi.org/10.1007/BF02828710

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  • DOI: https://doi.org/10.1007/BF02828710

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