Topological pressure for one-dimensional holomorphic dynamical systems

• Autorzy: Gelfert K. , Wolf Ch.
• Języki publikacji: EN

Abstrakty

EN

For a class of one-dimensional holomorphic maps ƒ of the Riemann sphere we prove that for a wide class of potentials φ the topological pressure is entirely determined by the values of φ on the repelling periodic points of ƒ. This is a version of a classical result of Bowen for hyperbolic diffeomorphisms in the holomorphic non-uniformly hyperbolic setting.

Słowa kluczowe

EN

topological pressure; rational maps; holomorphic dynamics; repelling periodic points; invariant measures

PL

miara niezmiennicza

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: Vol. 55, no 1
• Strony: 53--62
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Gelfert K.

autor

Wolf Ch.

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O. Box 21, 00-956 Warszawa, Poland,

Bibliografia

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