Topological pressure for one-dimensional holomorphic dynamical systems

Details Topological pressure for one-dimensional holomorphic dynamical systems Topological pressure for one-dimensional holomorphic dynamical systems

2007-05-31

arxiv.org/abs/0705.4572v1

Bull. Polish Acad. Sci. Math. 55 (2007), 53-62

Mathematics

Dynamical Systems

Scientific paper

For a class of one-dimensional holomorphic maps f of the Riemann sphere we
prove that for a wide class of potentials h the topological pressure is
entirely determined by the values of h 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.

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