Dynamical Systems and Semisimple Groups: An Introduction: 126 (Cambridge Tracts in Mathematics)

Author: Feres, Renato

Brand: Cambridge University Press

Edition: 1

Binding: paperback

Number Of Pages: 264

Release Date: 01-04-2010

Part Number: Refer to Sapnet.

Details: Product Description
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.
Review
Review of the hardback: 'This text might well become a standard one …'. G. Pilz, Internationale Mathematische Nachrichten
Book Description
An introduction to dynamical systems and ergodic theory with an emphasis on smooth actions of noncompact Lie groups.

EAN: 9780521142168

Package Dimensions: 8.9 x 6.1 x 0.7 inches

Languages: English