Volume 25, pp. 27-40, 2006.

On the support of the equilibrium measure for arcs of the unit circle and for real intervals

D. Benko, S. B. Damelin, and P. D. Dragnev

Abstract

We study the support of the equilibrium measure for weights defined on arcs of the unit circle and on intervals of the compactified real line. We provide several conditions to ensure that the support of the equilibrium measure is one interval or one arc.

Full Text (PDF) [248 KB]

Key words

logarthmic potential theory, external fields, equilibrium measure, equilibrium support

AMS subject classifications

31A15, 30C15, 78A30

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