Discrete Energy on Rectifiable Sets

Discrete Energy on Rectifiable Sets

Borodachov, Sergiy V.; Hardin, Douglas P.; Saff, Edward B.

Springer-Verlag New York Inc.

11/2019

666

Dura

Inglês

9780387848075

15 a 20 dias

1184

Descrição não disponível.

0. An Overview: Discretizing Manifolds via Particle Interactions.-1. Preliminaries.- 2. Basics of Minimal Energy.- 3.-Introduction to Packing and Covering.- 4. Continuous and Discrete Energy.- 5. LP Bounds on the Sphere.- 6. Asymptotics for Energy Minimizing Congurations on Sd.- 7. Some Popular Algorithms for Distributing Points on S2.- 8. Minimal Energy in the Hypersingular Case.- 9. Minimal Energy Asymptotics in the "Harmonic Series" Case.- 10. Periodic Riesz Energy.- 11. Congurations with non-Uniform Distribution.- 12. Low Complexity Energy Methods for Discretization.- 13. Best-Packing on Compact Sets.- 14. Optimal Discrete Measures for Potentials: Polarization (Chebyshev) Constants.- Appendix.- References.- List of Symbols.- Index.

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Discretization;Energy Asymptotics;Equilibrium Distributions;Minimum Energy Approach;Riesz Kernels;Riesz s-energy;computational methods;physical and biological applications;theoretical mathematics;plum-pudding model;discrete energy;information and communication, circuits