%0 Journal Article
%T Topological pressure for one-dimensional holomorphic dynamical systems
%A Katrin Gelfert
%A Christian Wolf
%J Mathematics
%D 2007
%I arXiv
%X 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.
%U http://arxiv.org/abs/0705.4572v1