Holomorphic Dynamical Systems - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 7-12, 2008 (Paperback, 2010 ed.)

The theory of holomorphic dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. A holomorphic dynamical system is the datum of a complex variety and a holomorphic object (such as a self-map or a vector ?eld) acting on it. The study of a holomorphic dynamical system consists in describing the asymptotic behavior of the system, associating it with some invariant objects (easy to compute) which describe the dynamics and classify the possible holomorphic dynamical systems supported by a given manifold. The behavior of a holomorphic dynamical system is pretty much related to the geometry of the ambient manifold (for instance, - perbolic manifolds do no admit chaotic behavior, while projective manifolds have a variety of different chaotic pictures). The techniques used to tackle such pr- lems are of variouskinds: complexanalysis, methodsof real analysis, pluripotential theory, algebraic geometry, differential geometry, topology. To cover all the possible points of view of the subject in a unique occasion has become almost impossible, and the CIME session in Cetraro on Holomorphic Dynamical Systems was not an exception.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	C.I.M.E. Foundation Subseries, 1998
Release date:	July 2010
First published:	July 2010
Editors:	Graziano Gentili
Authors:	Nessim Sibony • Dierk Schleicher
Editors:	Giorgio Patrizio
Authors:	Dinh Tien Cuong
Editors:	Jacques Guenot
Authors:	Marco Brunella • Eric Bedford • Marco Abate
Dimensions:	235 x 155 x 19mm (L x W x T)
Format:	Paperback
Pages:	348
Edition:	2010 ed.
ISBN-13:	978-3-642-13170-7
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science
LSN:	3-642-13170-0
Barcode:	9783642131707

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