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Lyapunov exponents and smooth ergodic theory - Luis Barreira

9780821829219
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Title
Lyapunov exponents and smooth ergodic theory
Author
Luis Barreira
format
Paperback / softback
Publisher
American Mathematical Society
Language
English
UK Publication Date
20011030

This book is a systematic introduction to smooth ergodic theory. The topics discussed include the general (abstract) theory of Lyapunov exponents and its applications to the stability theory of differential equations, stable manifold theory, absolute continuity, and the ergodic theory of dynamical systems with nonzero Lyapunov exponents (including geodesic flows). The authors consider several nontrivial examples of dynamical systems with nonzero Lyapunov exponents to illustrate some basic methods and ideas of the theory. This book is self-contained. The reader needs a basic knowledge of real analysis, measure theory, differential equations, and topology. The authors present basic concepts of smooth ergodic theory and provide complete proofs of the main results. They also state some more advanced results to give readers a broader view of smooth ergodic theory. This volume may be used by those nonexperts who wish to become familiar with the field.

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Type
BOOK
Keyword Index
Ergodic theory.|Lyapunov exponents.
Country of Publication
England
Number of Pages
151

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