Microscopic densities and Fock-Sobolev spaces
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/07fa4b4e-d6a5-4f34-8357-d774dc3e5d6e
- author
- Ameur, Yacin LU and Seo, Seong Mi LU
- organization
- publishing date
- 2019-10-09
- 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}}, }