书目名称 | Holomorphic Dynamical Systems |
副标题 | Lectures given at th |
编辑 | Marco Abate,Eric Bedford,Nessim Sibony,Graziano Ge |
视频video | |
概述 | This title includes contributions by six well known reserchers in different topics of the ample subject.The contributions are as much self-contained as possible.The volume provides a fascinating intro |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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 Cetra |
出版日期 | Book 2010 |
关键词 | Discrete holomorphic local dynamical systems; Dynamics of entire functions; Dynamics of rational surfa |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-13171-4 |
isbn_softcover | 978-3-642-13170-7 |
isbn_ebook | 978-3-642-13171-4Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2010 |