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Zbl 1253.31004
Benko, David; Dragnev, Peter; Totik, Vilmos
Convexity of harmonic densities.
(English)
[J] Rev. Mat. Iberoam. 28, No. 4, 947-960 (2012). ISSN 0213-2230

Summary: The convexity of the densities of harmonic measures is proven for subsets of a circle or of the real line. As a consequence, we get the convexity of the densities of equilibrium measures for compact sets lying on circles or the real axis.
MSC 2000:
*31A15 Potentials, etc. (two-dimensional)

Keywords: harmonic measures; equilibrium measures; balayage

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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