Dimension Theory in Dynamical Systems: Contemporary Views and Applications (Chicago Lectures in Mathematics) - Hardcover

Pesin, Yakov B.

Hardcover

ISBN 10: 0226662217 ISBN 13: 9780226662213

Verlag: University of Chicago Press, 1998

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

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.

Details zur Ausgabe

• Verlag: University of Chicago Press
• Erscheinungsdatum: 1998
• ISBN 10: 0226662217
• ISBN 13: 9780226662213
• Einband: Tapa dura
• Sprache: Englisch
• Anzahl der Seiten: 314
• Kontakt zum Hersteller: Nicht verfügbar