McMullen’s and geometric pressures and approximating the Hausdorff dimension of Julia sets from below

• Autorzy: Przytycki, Feliks
• Języki publikacji: EN

Abstrakty

EN

We introduce new variants of the notion of geometric pressure for rational functions on the Riemann sphere, including non-hyperbolic functions, in the hope that some of them will turn out useful to achieve fast approximation from below of the hyperbolic Hausdorff dimension of Julia sets.

Słowa kluczowe

EN

iteration of rational maps; Julia sets; Hausdorff dimension; geometric pressure; McMullen’s pressure; thermodynamic formalism

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2021
• Tom: Vol. 69, no. 2
• Strony: 115--137
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Przytycki, Feliks

• Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).

Identyfikatory

DOI

10.4064/ba211224-4-3