Nessim Sibony

(Author)

Holomorphic Dynamical Systems: Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, July 7-12, 2008 (2010)Paperback - 2010, 31 July 2010

Holomorphic Dynamical Systems: Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, July 7-12, 2008 (2010)
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Part of Series
Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries
Part of Series
Lecture Notes in Mathematics: CIME Foundation
Part of Series
Lecture Notes in Mathematics / Fondazione C.I.M.E., Firenze
Part of Series
Lecture Notes in Mathematics
Part of Series
C.I.M.E. Foundation Subseries
Print Length
348 pages
Language
English
Publisher
Springer
Date Published
31 Jul 2010
ISBN-10
3642131700
ISBN-13
9783642131707

Description

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.

Product Details

Authors:
Nessim SibonyDierk SchleicherDinh Tien CuongMarco BrunellaEric BedfordMarco Abate
Book Edition:
2010
Book Format:
Paperback
Country of Origin:
NL
Date Published:
31 July 2010
Dimensions:
23.39 x 15.6 x 1.91 cm
ISBN-10:
3642131700
ISBN-13:
9783642131707
Language:
English
Location:
Berlin, Heidelberg
Pages:
348
Publisher:
Weight:
508.02 gm

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