Theoretical and Computational Investigations of Minimal Energy Problems

<p>Let A be a d-dimensional compact subset of p-dimensional Euclidean space. For s in (0,d) the Riesz s-equilibrium measure is the unique Borel probability measure that minimizes the Riesz s-energy over the set of all Borel probability measures supported on A. In this paper we show that if A i...

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Bibliographic Details
Main Author: Calef, Matthew Thomas
Other Authors: Douglas Hardin
Format: Others
Language:en
Published: VANDERBILT 2009
Subjects:
Online Access:http://etd.library.vanderbilt.edu/available/etd-07152009-162919/