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Fractal Geometry, Complex Dimensions and Zeta Functions

Overview of attention for book
Cover of 'Fractal Geometry, Complex Dimensions and Zeta Functions'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Complex Dimensions of Ordinary Fractal Strings
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    Chapter 3 Complex Dimensions of Self-Similar Fractal Strings
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    Chapter 4 Complex Dimensions of Nonlattice Self-Similar Strings: Quasiperiodic Patterns and Diophantine Approximation
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    Chapter 5 Generalized Fractal Strings Viewed as Measures
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    Chapter 6 Explicit Formulas for Generalized Fractal Strings
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    Chapter 7 The Geometry and the Spectrum of Fractal Strings
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    Chapter 8 Periodic Orbits of Self-Similar Flows
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    Chapter 9 Tubular Neighborhoods and Minkowski Measurability
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    Chapter 10 The Riemann Hypothesis and Inverse Spectral Problems
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    Chapter 11 Generalized Cantor Strings and their Oscillations
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    Chapter 12 The Critical Zeros of Zeta Functions
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    Chapter 13 Concluding Comments, Open Problems, and Perspectives
Attention for Chapter 2: Complex Dimensions of Ordinary Fractal Strings
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