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.
- ISBN10 0226662217
- ISBN13 9780226662213
- Publish Date 5 January 1998 (first published 8 December 1997)
- Publish Status Out of Stock
- Out of Print 15 June 2015
- Publish Country US
- Imprint University of Chicago Press
- Format Hardcover
- Pages 314
- Language English