Holomorphic dynamics / S. Morosawa ... [et al.]
Type de document : MonographieCollection : Cambridge studies in advanced mathematics, 66Langue : anglais.Pays: Grande Bretagne.Éditeur : Cambridge : Cambridge University Press, 2000Description : 1 vol. (xi-338 p.) : ill. ; 24 cmISBN: 0521662583.ISSN: 0950-6330.Bibliographie : bibliogr. ref. (p. 329-334) and index.Sujet MSC : 37F10, Dynamical systems over complex numbers, Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets37F50, Dynamical systems over complex numbers, Small divisors, rotation domains and linearization in holomorphic dynamics
30D05, Entire and meromorphic functions of one complex variable, and related topics, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable
30F40, Functions of a complex variable - Riemann surfaces, Kleinian groups
32H50, Holomorphic mappings and correspondences, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variablesEn-ligne : Zentralblatt | MathSciNet Item type:
Monographie
| Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|
| CMI Salle R | 37 MOR (Browse shelf(Opens below)) | Available | 00861-01 |
This book is a comprehensive introduction to holomorphic dynamics, that is the dynamics induced by iteration of various holomorphic maps of one or several complex variables. This has been the focus of much attention in recent years, and the authors give a nearly up-to-date coverage of the modern theory. They cover rational and entire functions of one complex variable, Kleinian groups and polynomial automorphisms of several complex variables such as complex Hénon maps, but no transcendental meromorphic functions. The book is a self-contained introduction to this area. (Zentralblatt)
bibliogr. ref. (p. 329-334) and index
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