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arXiv · 1610.10052

Microscopic densities and Fock-Sobolev spaces

Yacin Ameur·Seong-Mi Seo
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Abstract

We study two-dimensional eigenvalue ensembles close to certain types of singular points in the bulk of the droplet. We prove existence of a microscopic density which quickly approaches the classical equilibrium density, as the distance from the singularity increases beyond the microscopic scale. As a consequence we obtain asymptotics for the Bergman function of certain Fock-Sobolev spaces of entire functions.

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Yacin Ameur, Seong-Mi Seo. 2016-10-31. Microscopic densities and Fock-Sobolev spaces. https://arxiv.org/abs/1610.10052

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