The Geometry of Optimal and Near-Optimal Riesz Energy Configurations

This thesis discusses recent and classical results concerning the asymptotic properties (as N gets large) of ``ground state' configurations of N particles restricted to a compact set A of Hausdorff dimension d interacting through through an inverse power law 1/r^s for some s>0. It has been o...

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Bibliographic Details
Main Author: Fitzpatrick, Justin Liam
Other Authors: Gieri Simonett
Format: Others
Language:en
Published: VANDERBILT 2010
Subjects:
Online Access:http://etd.library.vanderbilt.edu/available/etd-08092010-093437/