Cargando…
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 f...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Chicago :
University of Chicago Press,
1997.
|
| Colección: | Chicago lectures in mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.
- 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.