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Holomorphic Dynamics on Hyperbolic Riemann Surfaces is written by Marco Abate and published by Walter de Gruyter GmbH & Co KG. It's available with International Standard Book Number or ISBN identification 3110601974 (ISBN 10) and 9783110601978 (ISBN 13).
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 gateway to this beautiful theory for Master and Ph.D. students. It also contains extensive historical notes and references for further readings.