Dimension Theory in Dynamical Systems

Contemporary Views and Applications

Yakov B. Pesin

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English

University of Chicago Press
08 December 1997

Differential calculus & equations; Fractal geometry; Stochastics

Series: Chicago Lectures in Mathematics Series CLM

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"" behavior.

In this book, Yakov Pesin introduces a new 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.

Pesin's synthesis of these subjects of broad current research interest will be appreciated both by advanced mathematicians and by a wide range of scientists who depend upon mathematical modeling of dynamical processes.

By: Yakov B. Pesin
Imprint: University of Chicago Press
Country of Publication: United States
Edition: 2nd ed.
Volume: C
Dimensions: Height: 23mm, Width: 16mm, Spine: 2mm
Weight: 539g
ISBN: 9780226662220
ISBN 10: 0226662225
Series: Chicago Lectures in Mathematics Series CLM
Pages: 311
Publication Date: 08 December 1997
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Yakov B. Pesin is professor of mathematics at Pennsylvania State University, University Park. He is the author of The General Theory of Smooth Hyperbolic Dynamical Systems and co-editor of Sinai's Moscow Seminar on Dynamical Systems.