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A Law of Large Numbers for the Zeroes of...

Journal article

A Law of Large Numbers for the Zeroes of Heine–Stieltjes Polynomials

Abstract

We determine the limiting density of the zeroes of Heine–Stieltjes polynomials (or of any set of points satisfying the conclusion of Heine–Stieltjes Theorem) in the thermodynamic limit and use this to prove a strong law of large numbers for the zeroes.

Authors

Bourget A; Jakobson D; Min-Oo M; Toth JA

Journal

Letters in Mathematical Physics, Vol. 64, No. 2, pp. 105–118

Publisher

Springer Nature

Publication Date

May 1, 2003

DOI

10.1023/a:1025764002987

ISSN

0377-9017

Associated Experts

Maung Min-oo

Professor Emeritus, Faculty of Science

Labels

Fields of Research (FoR)

4901 Applied Mathematics 49 Mathematical sciences 4905 Statistics 51 Physical sciences

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