1.

Record Nr.

UNISA996466512803316

Autore

Sibony Nessim

Titolo

Holomorphic Dynamical Systems [[electronic resource] ] : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 7-12, 2008 / / by Nessim Sibony, Dierk Schleicher, Dinh Tien Cuong, Marco Brunella, Eric Bedford, Marco Abate ; edited by Graziano Gentili, Giorgio Patrizio, Jacques Guenot

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2010

ISBN

3-642-13171-9

Edizione

[1st ed. 2010.]

Descrizione fisica

1 online resource (XII, 348 p.)

Collana

C.I.M.E. Foundation Subseries ; ; 1998

Disciplina

515.98

Soggetti

Dynamics

Ergodic theory

Functions of complex variables

Potential theory (Mathematics)

Dynamical Systems and Ergodic Theory

Functions of a Complex Variable

Several Complex Variables and Analytic Spaces

Potential Theory

Kongress.

Cetraro <2008>

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Discrete Holomorphic Local Dynamical Systems -- Dynamics of Rational Surface Automorphisms -- Uniformisation of Foliations by Curves -- Dynamics in Several Complex Variables: Endomorphisms of Projective Spaces and Polynomial-like Mappings -- Dynamics of Entire Functions.

Sommario/riassunto

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. This volume collects the Lectures held at the 2008 CIME session on "Holomorphic Dynamical Systems" held in Cetraro, Italy. This CIME Course focused on a number of important topics in the study of



discrete and continuous dynamical systems, including both local and global aspects, providing a fascinating introduction to many key problems in current research. The contributions provide an ample description of the phenomena occurring in central themes of holomorphic dynamics such as automorphisms and meromorphic self-maps of projective spaces, of entire maps on complex spaces and holomorphic foliations in surfaces and higher dimensional manifolds, elaborating on the different techniques used and familiarizing readers with the latest findings on current research topics.