Lyapunov Exponents and Smooth Ergodic Theory (University Lecture Series) - Luis Barreira, Yakov B. Pesin, Ya. B. Pesin, Pesin, Ya. B (2002)
ISBN 0821829211
Subject Ergodic theory; Lyapunov exponents
Publisher American Mathematical Society
Publication Date January 2002
Format Paperback (260 x 184 mm)
Language e
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.

Personal Details
Collection Status In Collection
Index 170
Read It Yes
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Product Details
LoC Classification QA611.5.B37 2002
Dewey 515/.42
Cover Price $30.00
No. of Pages 151