Dimension Theory in Dynamical Systems - Contemporary Views and Applications

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.

Summary

The principles of symmetry and self-symmetry are expressed in fractals, the subject of study in dimension theory. This book introduces an area of research which has recently appeared in the interface between dimension theory and the theory of dynamical systems, focusing on invariant fractals.

Product details

• Authors: Yakov Pesin, Yakov B. Pesin, Yakov Pesin
• Publisher: University Presses
• Languages: English
• Product format: Paperback / Softback
• Released: 08.12.1997
• EAN: 9780226662220
• ISBN: 978-0-226-66222-0
• No. of pages: 311
• Dimensions: 16 mm x 23 mm x 2 mm
• Weight: 539 g
• Series: Chicago Lectures in Mathematics; Chicago Lectures in Mathematics; Chicago Lectures in Mathematics Series CLM (CHUP); Chicago Lectures in Mathematics Series CLM
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Differential Equations / General, MATHEMATICS / Geometry / General, Differential calculus & equations, Stochastics, Differential calculus and equations, Fractal geometry