Asymptotic Results for the minimum energy and Best-Packing Problems on Rectifiable Sets

This work studies the behavior of the minimal discrete Riesz s-energy and best-packing distance on rectifiable sets as the cardinality N of point configurations gets large. We extend known asymptotic results for the minimal s-energy on d-dimensional rectifiable manifolds (s>d, d is an integer) to...

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Bibliographic Details
Main Author: Borodachov, Sergiy Volodymyrovych
Other Authors: Edward Saff
Format: Others
Language:en
Published: VANDERBILT 2006
Subjects:
Online Access:http://etd.library.vanderbilt.edu/available/etd-06212006-125022/