Topological Pressure for One-Dimensional Holomorphic Dynamical Systems

• Autorzy: Katrin Gelfert , Christian Wolf
• Języki publikacji: EN

Abstrakty

EN

For a class of one-dimensional holomorphic maps f 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 f. This is a version of a classical result of Bowen for hyperbolic diffeomorphisms in the holomorphic non-uniformly hyperbolic setting.

Kategorie tematyczne

• 37D35: Thermodynamic formalism, variational principles, equilibrium states
• 37F10: Polynomials; rational maps; entire and meromorphic functions
• 28D20: Entropy and other invariants
• 37D25: Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: 55
• Numer: 1
• Strony: 53-62

Daty

wydano

2007

Twórcy

autor

Katrin Gelfert

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

autor

Christian Wolf

• Department of Mathematics, Wichita State University, Wichita, KS 67260, U.S.A.

Identyfikatory

DOI

10.4064/ba55-1-6