Holomorphic Dynamics on Hyperbolic Riemann Surfaces

This completely revised and updated edition of the one variable part of the author''s classic older book "Iteration Theory of Holomorphic Maps on Taut Manifolds" presents the theory of holomorphic dynamical systems on hyperbolic Riemann surfaces from the very beginning of the subject up to the most recent developments. It is intended both as a reference book for the experts and as an accessible ga...