Barreira, Luis
Dimension and Recurrence in Hyperbolic Dynamics
1. Introduction
2. Basic Notions
Part I. Dimension Theory
3. Dimension Theory and Thermodynamic Formalism
4. Repellers and Hyperbolic Sets
5. Measures of Maximal Dimension
Part II. Multifractal Analysis: Core Theory
6. Multifractal Analysis of Equilibrium Measures
7. General Concept of Multifractal Analysis
8. Dimension of Irregular Sets
9. Variational Principles in Multifractal Analysis
Part III. Multifractal Analysis: Further Developments
10. Multidimensional Spectra and Number Theory
11. Multifractal Rigidity
12. Hyperbolic Sets: Past and Future
Part IV. Hyperbolicity and Recurrence
13. Pointwise Dimension for Hyperbolic Dynamics
14. Product Structure of Hyperbolic Measures
15. Quantitative Recurrence and Dimension Theory
Avainsanat: MATHEMATICS / General MAT000000
- Tekijä(t)
- Barreira, Luis
- Julkaisija
- Springer
- Julkaisuvuosi
- 2008
- Kieli
- en
- Painos
- 1
- Kategoria
- Eksaktit luonnontieteet
- Tiedostomuoto
- E-kirja
- eISBN (PDF)
- 9783764388829