Fractal Geometry, Complex Dimensions and Zeta Functions

1. Complex Dimensions of Ordinary Fractal Strings
Michel L. Lapidus, Machiel Frankenhuijsen

2. Complex Dimensions of Self-Similar Fractal Strings
Michel L. Lapidus, Machiel Frankenhuijsen

3. Complex Dimensions of Nonlattice Self-Similar Strings: Quasiperiodic Patterns and Diophantine Approximation
Michel L. Lapidus, Machiel Frankenhuijsen

4. Generalized Fractal Strings Viewed as Measures
Michel L. Lapidus, Machiel Frankenhuijsen

5. Explicit Formulas for Generalized Fractal Strings
Michel L. Lapidus, Machiel Frankenhuijsen

6. The Geometry and the Spectrum of Fractal Strings
Michel L. Lapidus, Machiel Frankenhuijsen

7. Periodic Orbits of Self-Similar Flows
Michel L. Lapidus, Machiel Frankenhuijsen

8. Fractal Tube Formulas
Michel L. Lapidus, Machiel Frankenhuijsen

9. Riemann Hypothesis and Inverse Spectral Problems
Michel L. Lapidus, Machiel Frankenhuijsen

10. Generalized Cantor Strings and their Oscillations
Michel L. Lapidus, Machiel Frankenhuijsen

11. Critical Zeros of Zeta Functions
Michel L. Lapidus, Machiel Frankenhuijsen

12. Fractality and Complex Dimensions
Michel L. Lapidus, Machiel Frankenhuijsen

13. New Results and Perspectives
Michel L. Lapidus, Machiel Frankenhuijsen

Keywords: Mathematics, Number Theory, Measure and Integration, Partial Differential Equations, Dynamical Systems and Ergodic Theory, Global Analysis and Analysis on Manifolds, Functional Analysis