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Discrete Energy on Rectifiable Sets

Overview of attention for book
Cover of 'Discrete Energy on Rectifiable Sets'

Table of Contents

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    Book Overview
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    Chapter 1 Preliminaries
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    Chapter 2 Basic Properties and Examples of Minimal Discrete Energy
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    Chapter 3 Introduction to Best-Packing and Best-Covering
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    Chapter 4 Continuous Energy and Its Relation to Discrete Energy
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    Chapter 5 Linear Programming Bounds and Universal Optimality on the Sphere
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    Chapter 6 Asymptotics for Energy Minimizing Configurations on $$S^d$$
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    Chapter 7 Some Popular Algorithms for Distributing Points on $$S^2$$
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    Chapter 8 Minimal Energy in the Hypersingular Case
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    Chapter 9 Minimal Energy Asymptotics in the “Harmonic Series” Case
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    Chapter 10 Periodic Riesz and Gauss-Type Potentials
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    Chapter 11 Configurations with Nonuniform Distribution
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    Chapter 12 Low-Complexity Energy Methods for Discretization
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    Chapter 13 Best-Packing on Compact Sets
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    Chapter 14 Optimal Discrete Measures for Potentials: Polarization (Chebyshev) Constants
Attention for Chapter 5: Linear Programming Bounds and Universal Optimality on the Sphere
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