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Dimension Theory in Dynamical Systems – Contemporary Views & Applications: Contemporary Views and Applications (Chicago Lectures in Mathematics) - Hardcover
Synopsis
The principles of symmetry and self-similarity structure nature's most beautiful creations. For example, they are expressed in fractals, famous for their beautiful but complicated geometric structure, which is the subject of study in dimension theory. And in dynamics the presence of invariant fractals often results in unstable "turbulent-like" motions and is associated with "chaotic" behaviour. In this book, Yakov Pesin introduces an area of research that has recently appeared in the interface between dimension theory and the theory of dynamical systems. Focusing on invariant fractals and their influence on stochastic properties of systems, Pesin provides a comprehensive and systematic treatment of modern dimension theory in dynamical systems, summarizes the current state of research, and describes the most important accomplishments of this field.
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About the Author
Yakov B. Pesin is professor of mathematics at Pennsylvania State University, University Park. He is the author ofThe General Theory of Smooth Hyperbolic Dynamical Systems and co-editor ofSinai's Moscow Seminar on Dynamical Systems.
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- PublisherUniversity of Chicago Press
- Publication date1997
- ISBN 10 0226662217
- ISBN 13 9780226662213
- BindingHardcover
- LanguageEnglish
- Number of pages314
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