Dynamical Systems and Semisimple Groups: An Introduction - Couverture souple

Feres, Renato

Couverture souple

ISBN 10 : 0521142164 ISBN 13 : 9780521142168

Editeur : Cambridge University Press, 2010

Synopsis

An introduction to dynamical systems and ergodic theory with an emphasis on smooth actions of noncompact Lie groups.

A propos du livre

Présentation de l'éditeur

This 1998 book provides an introduction to dynamical systems and ergodic theory with an emphasis on smooth actions of noncompact Lie groups. The main goal is to serve as an entry into the literature on the ergodic theory of measure preserving actions of semisimple Lie groups. The author develops in a detailed and self-contained way the main results on Lie groups, Lie algebras, and semisimple groups, including basic facts on manifolds and Lie groups plus topics such as integration of infinitesimal actions of Lie groups. He then derives the basic structure theorems for the real semisimple Lie groups, such as the Cartan and Iwasawa decompositions and gives an extensive exposition of the general facts and concepts from topological dynamics and ergodic theory, including detailed proofs of the multiplicative ergodic theorem and Moore's ergodicity theorem. This book should appeal to anyone interested in Lie theory, differential geometry and dynamical systems.

Revue de presse

Review of the hardback: 'This text might well become a standard one ...'. G. Pilz, Internationale Mathematische Nachrichten

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 0521142164
• ISBN 13: 9780521142168
• Reliure: Broché
• Numéro d'édition: 1
• Nombre de pages: 264
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France