Rudiments de dynamique holomorphe / François Berteloot, Volker Mayer

Auteur principal : Berteloot, François, 1961-, AuteurCo-auteur : Mayer, Volker, 1964-, AuteurType de document : MonographieCollection : Cours spécialisés, 7Langue : français.Pays: France.Éditeur : Paris : Société Mathématique de France, 2001Description : 1 vol. (VI-160 p.) : ill. ; 24 cmISBN: 9782868835215.ISSN: 1284-6090.Bibliographie : Bibliogr. p. [151]-157. Index.Sujet MSC : 37F10, Dynamical systems over complex numbers, Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets
37F15, Dynamical systems over complex numbers, Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems
37F50, Dynamical systems over complex numbers, Small divisors, rotation domains and linearization in holomorphic dynamics
32H50, Holomorphic mappings and correspondences, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables
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
39B12, Functional equations and inequalities, Iteration theory, iterative and composite equations
En-ligne : Résumé
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 Monographie Monographie CMI
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Séries COSP (Browse shelf(Opens below)) Available 01421-01

The monograph is an introduction to holomorphic dynamics in the sense of iterations of rational maps of the Riemann sphere. According to the book itself, the authors have aimed at offering both a panoramic view of the most classical aspects of the subject, and a sketch of some of the more recent developments. (Zentralblatt)

Bibliogr. p. [151]-157. Index

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