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Microscopic densities and Fock-Sobolev spaces

Ameur, Yacin LU and Seo, Seong Mi LU (2019) In Journal d'Analyse Mathematique 139. p.397-420
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.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal d'Analyse Mathematique
volume
139
pages
24 pages
publisher
Magnes Press
external identifiers
  • scopus:85074456092
ISSN
0021-7670
DOI
10.1007/s11854-019-0055-1
language
English
LU publication?
yes
id
07fa4b4e-d6a5-4f34-8357-d774dc3e5d6e
date added to LUP
2019-11-22 12:19:12
date last changed
2022-04-18 19:07:08
@article{07fa4b4e-d6a5-4f34-8357-d774dc3e5d6e,
  abstract     = {{<p>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.</p>}},
  author       = {{Ameur, Yacin and Seo, Seong Mi}},
  issn         = {{0021-7670}},
  language     = {{eng}},
  month        = {{10}},
  pages        = {{397--420}},
  publisher    = {{Magnes Press}},
  series       = {{Journal d'Analyse Mathematique}},
  title        = {{Microscopic densities and Fock-Sobolev spaces}},
  url          = {{http://dx.doi.org/10.1007/s11854-019-0055-1}},
  doi          = {{10.1007/s11854-019-0055-1}},
  volume       = {{139}},
  year         = {{2019}},
}