Frankenhuijsen, Machiel
Fractal Geometry, Complex Dimensions and Zeta Functions
1. Introduction
2. Complex Dimensions of Ordinary Fractal Strings
3. Complex Dimensions of Self-Similar Fractal Strings
4. Complex Dimensions of Nonlattice Self-Similar Strings: Quasiperiodic Patterns and Diophantine Approximation
5. Generalized Fractal Strings Viewed as Measures
6. Explicit Formulas for Generalized Fractal Strings
7. The Geometry and the Spectrum of Fractal Strings
8. Periodic Orbits of Self-Similar Flows
9. Tubular Neighborhoods and Minkowski Measurability
10. The Riemann Hypothesis and Inverse Spectral Problems
11. Generalized Cantor Strings and their Oscillations
12. The Critical Zeros of Zeta Functions
13. Concluding Comments, Open Problems, and Perspectives
DRM-restrictions
Printing: not available
Clipboard copying: not available
Keywords: MATHEMATICS / General MAT000000
- Author(s)
- Frankenhuijsen, Machiel
- Lapidus, Michel L.
- Publisher
- Springer
- Publication year
- 2006
- Language
- en
- Edition
- 1
- Category
- Natural Sciences
- Format
- Ebook
- eISBN (PDF)
- 9780387352084