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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.

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Book Details

ISBN: 9780521591621
ISBN-10: 0521591627
Format: Hardback
(228mm x 152mm x 19mm)
Pages: 264
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Jun-1998
Country of Publication: United Kingdom

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Books By Author Renato Feres

Dynamical Systems and Semisimple Groups by Renato Feres

Dynamical Systems and Semisimple Groups

Paperback, April 2010
$103.50