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 11 Generalized Cantor Strings and their Oscillations

Chapter 12 The Critical Zeros of Zeta Functions

Chapter 13 Concluding Comments, Open Problems, and Perspectives