Dimension Theory in Dynamical Systems : Contemporary Views and Applications.
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| Author / Creator: | Pesin, Ya. B. |
|---|---|
| Imprint: | Chicago : University of Chicago Press, 1997. |
| Description: | 1 online resource (320 pages). |
| Language: | English |
| Series: | Chicago Lectures in Mathematics Chicago lectures in mathematics. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11347126 |
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| 100 | 1 | |a Pesin, Ya. B. |0 http://id.loc.gov/authorities/names/no96000585 | |
| 245 | 1 | 0 | |a Dimension Theory in Dynamical Systems : |b Contemporary Views and Applications. |
| 260 | |a Chicago : |b University of Chicago Press, |c 1997. | ||
| 300 | |a 1 online resource (320 pages). | ||
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| 490 | 1 | |a Chicago Lectures in Mathematics | |
| 505 | 0 | |a Dimention Theory in Dynamical Systems; Contents; Preface; Introduction; Part I: Carathéodory Dimension Characteristics; Chapter 1. General Carathéodory Construction; Chapter 2. C-Structures Associated with Metrics: Hausdorff Dimension and Box Dimension; Chapter 3. C-Structures Associated with Metrics and Measures: Dimension Spectra; Appendix I: Hausdorff (Box) Dimension and Q-(Box) Dimension of Sets and Measures in General Metric Spaces; Chapter 4. C-Structures Associated with Dynamical Systems: Thermodynamic Formalism; Appendix II: Variational Principle for Topological Pressure. | |
| 505 | 8 | |a Symbolic Dynamical Systems Bowen's Equation; Appendix III: An Example of Carathéodory Structure Generated by Dynamical Systems; Part II: Applications to Dimension Theory and Dynamical Systems; Chapter 5. Dimension of Cantor-like Sets and Symbolic Dynamics; Chapter 6. Multifractal Formalism; Chapter 7. Dimension of Sets and Measures Invariant Under Hyperbolic Systems; Appendix IV: A General Concept of Multifractal Spectra; M. | |
| 520 | |a 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 invar. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Differentiable dynamical systems. |0 http://id.loc.gov/authorities/subjects/sh85037882 | |
| 650 | 0 | |a Dimension theory (Topology) |0 http://id.loc.gov/authorities/subjects/sh85038035 | |
| 650 | 7 | |a Differentiable dynamical systems. |2 fast |0 http://id.worldcat.org/fast/fst00893426 | |
| 650 | 7 | |a Dimension theory (Topology) |2 fast |0 http://id.worldcat.org/fast/fst00893848 | |
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