Fractal Geometry, Complex Dimensions and Zeta Functions

Chapter 1 Introduction

Chapter 2 Complex Dimensions of Ordinary Fractal Strings

Chapter 3 Complex Dimensions of Self-Similar Fractal Strings

Chapter 4 Complex Dimensions of Nonlattice Self-Similar Strings: Quasiperiodic Patterns and Diophantine Approximation

Chapter 5 Generalized Fractal Strings Viewed as Measures

Chapter 6 Explicit Formulas for Generalized Fractal Strings

Chapter 7 The Geometry and the Spectrum of Fractal Strings

Chapter 8 Periodic Orbits of Self-Similar Flows

Chapter 9 Tubular Neighborhoods and Minkowski Measurability

Chapter 10 The Riemann Hypothesis and Inverse Spectral Problems

Chapter 11 Generalized Cantor Strings and their Oscillations

Chapter 12 The Critical Zeros of Zeta Functions

Chapter 13 Concluding Comments, Open Problems, and Perspectives