Microscopic densities and Fock-Sobolev spaces

Research output: Contribution to journalArticle

Abstract

We study two-dimensional eigenvalue ensembles close to certain types of singular points in the interior of the droplet. We prove existence of a microscopic density which quickly approaches the equilibrium density, as the distance from the singularity increases beyond the microscopic scale. This kind of asymptotic is used to analyze normal matrix models in [3]. In addition, we obtain here asymptotics for the Bergman function of certain Fock-Sobolev spaces of entire functions.

Details

Authors
Organisations
External organisations
  • Korea Institute for Advanced Study
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematical Analysis
Original languageEnglish
Pages (from-to)397–420
Number of pages24
JournalJournal d'Analyse Mathematique
Volume139
Early online date2019 Oct 9
Publication statusPublished - 2019 Oct
Publication categoryResearch
Peer-reviewedYes