Dimension Theory in Dynamical Systems

Yakov B. Pesin

ISBN 10: 0226662225 / ISBN 13: 9780226662220

Editore: The University of Chicago Press, 1997

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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. Series: Chicago Lectures in Mathematics. Num Pages: 314 pages, Ill. BIC Classification: PBKJ; PBMX; PBWL. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 232 x 154 x 23. Weight in Grams: 500. . 1997. 1st Edition. Paperback. . . . . Books ship from the US and Ireland. Codice articolo V9780226662220

Dati bibliografici

Titolo: Dimension Theory in Dynamical Systems

Casa editrice: The University of Chicago Press

Data di pubblicazione: 1997

Legatura: Brossura

Condizione: New

Descrizione articolo

Riassunto:

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.

Informazioni sugli autori:

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.

Yakov B. Pesin is professor of mathematics at Pennsylvania State University, University Park.