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Dynamical Systems & Semisimple Groups: An Introduction, Vol. 126

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Dynamical Systems & Semisimple Groups: An Introduction, Vol. 126 Cover

 

Synopses & Reviews

Publisher Comments:

Here is 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 current literature on the ergodic theory of measure preserving actions of semisimple Lie groups for students who have taken the standard first year graduate courses in mathematics. The author develops in a detailed and self-contained way the main results on Lie groups, Lie algebras, and semisimple groups, including basic facts normally covered in first courses 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.

Synopsis:

Assuming only a basic knowledge of manifolds theory, algebra, and measure theory, this book is a systematic and largely self-contained introduction to Margulis-Zimmer theory, and provides an entry into the current research in this general field. It should appeal to anyone interested in Lie theory, differential geometry and dynamical systems.

Synopsis:

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

Table of Contents

Preface; 1. Topological dynamics; 2. Ergodic theory - part I; 3. Smooth actions and Lie theory; 4. Algebraic actions; 5. The classical groups; 6. Geometric structures; 7. Semisimple Lie groups; 8. Ergodic theory - part II; 9. Oseledec's theorem; 10. Rigidity theorems; Appendix: Lattices in SL(n, R).

Product Details

ISBN:
9780521591621
Author:
Feres, Renato
Publisher:
Cambridge University Press
Editor:
Fulton, W.
Editor:
Bollobas, Bela
Author:
Katok, A.
Author:
Fe
Author:
Bollobas, B.
Author:
res, Renato
Author:
Fulton, W.
Author:
Sarnak, P.
Author:
Kirwan, F.
Location:
Cambridge, Eng. ;
Subject:
Geometry - General
Subject:
Differentiable dynamical systems
Subject:
Semisimple Lie groups.
Subject:
General Mathematics
Subject:
Calculus
Subject:
Algebra - General
Subject:
Differential Equations
Subject:
Mathematics-Calculus
Edition Description:
Hardcover
Series:
Cambridge Tracts in Mathematics
Series Volume:
126
Publication Date:
20081131
Binding:
Hardcover
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Yes
Pages:
264
Dimensions:
9.00x6.00x.75 in. 1.23 lbs.

Related Subjects

Humanities » Philosophy » General
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Differential Equations

Dynamical Systems & Semisimple Groups: An Introduction, Vol. 126 New Hardcover
0 stars - 0 reviews
$136.25 In Stock
Product details 264 pages Cambridge University Press - English 9780521591621 Reviews:
"Synopsis" by , Assuming only a basic knowledge of manifolds theory, algebra, and measure theory, this book is a systematic and largely self-contained introduction to Margulis-Zimmer theory, and provides an entry into the current research in this general field. It should appeal to anyone interested in Lie theory, differential geometry and dynamical systems.
"Synopsis" by , An introduction to dynamical systems and ergodic theory with an emphasis on smooth actions of noncompact Lie groups.
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