Dynamical Systems and Semisimple Groups An Introduction |
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| Author:
| Feres, Renato |
| Contribution by:
| Bollobas, B.
Fulton, W.
Katok, A.
Kirwan, F.
Sarnak, Peter
Simon, B. |
| Series title: | Cambridge Tracts in Mathematics Ser. |
| ISBN: | 978-0-521-59162-1 |
| Publication Date: | Jun 1998 |
| Publisher: | Cambridge University Press
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| Book Format: | Hardback |
| List Price: | AUD $188.95 |
Book Description:
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The theory of dynamical systems can be described as the study of the global properties of groups of transformations. The historical roots of the subject lie in celestial and statistical mechanics, for which the group is the time parameter. The more general modern theory treats the dynamical properties of the semisimple Lie groups. Some of the most fundamental discoveries in this area are due to the work of G.A. Margulis and R. Zimmer. This book comprises a systematic, self-contained...
More DescriptionThe theory of dynamical systems can be described as the study of the global properties of groups of transformations. The historical roots of the subject lie in celestial and statistical mechanics, for which the group is the time parameter. The more general modern theory treats the dynamical properties of the semisimple Lie groups. Some of the most fundamental discoveries in this area are due to the work of G.A. Margulis and R. Zimmer. This book comprises a systematic, self-contained introduction to the Margulis-Zimmer theory, and provides an entry into current research. Assuming only a basic knowledge of manifolds, algebra, and measure theory, this book should appeal to anyone interested in Lie theory, differential geometry and dynamical systems.