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Topological Pressure for One-Dimensional Holomorphic Dynamical Systems

Topological Pressure for One-Dimensional Holomorphic Dynamical Systems

For a class of one-dimensional holomorphic maps $f$ of the Riemann sphere we prove that for a wide class of potentials $\varphi$ the topological pressure is entirely determined by the values of $\varphi$ on the repelling periodic points of $f$. This