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.
Cite this article
David Benko, Peter Dragnev, Vilmos Totik, Convexity of harmonic densities. Rev. Mat. Iberoam. 28 (2012), no. 4, pp. 947–960DOI 10.4171/RMI/698