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Articles on Random Normal Matrix Theory

Cronvall, Joakim LU (2025)
Abstract
In this thesis, we investigate the random normal matrix model in which the eigenvalues correspond to the two-dimensional Coulomb gas at inverse temperature β = 2. The thesis consists of seven papers concerning different
aspects of the random normal matrix model. The main topics of the thesis are asymptotics of the correlation
kernel, fluctuations of linear statistics, asymptotics of the partition function and disk counting statistics. In particular, we investigate these topics in the setting of disconnected droplets, where interactions between the different
components must be taken into account.
Please use this url to cite or link to this publication:
author
supervisor
opponent
  • Professor Johansson, Kurt, KTH, Stockholm
organization
publishing date
type
Thesis
publication status
published
subject
keywords
Orthogonal polynomials, Random normal matrices, Coulomb gas
pages
44 pages
publisher
Lund University
defense location
MH:H (Hörmandersalen), Matematikhuset
defense date
2025-06-13 13:00:00
ISBN
978-91-8104-536-9
978-91-8104-535-2
language
English
LU publication?
yes
id
2523a7d1-ff6d-4637-b237-07e7dc6e7044
date added to LUP
2025-05-12 11:16:44
date last changed
2025-05-20 08:55:13
@phdthesis{2523a7d1-ff6d-4637-b237-07e7dc6e7044,
  abstract     = {{In this thesis, we investigate the random normal matrix model in which the eigenvalues correspond to the two-dimensional Coulomb gas at inverse temperature β = 2. The thesis consists of seven papers concerning different<br/>aspects of the random normal matrix model. The main topics of the thesis are asymptotics of the correlation<br/>kernel, fluctuations of linear statistics, asymptotics of the partition function and disk counting statistics. In particular, we investigate these topics in the setting of disconnected droplets, where interactions between the different<br/>components must be taken into account.}},
  author       = {{Cronvall, Joakim}},
  isbn         = {{978-91-8104-536-9}},
  keywords     = {{Orthogonal polynomials; Random normal matrices; Coulomb gas}},
  language     = {{eng}},
  month        = {{05}},
  publisher    = {{Lund University}},
  school       = {{Lund University}},
  title        = {{Articles on Random Normal Matrix Theory}},
  url          = {{https://lup.lub.lu.se/search/files/218980977/Avhandling_Joakim_Cronvall_LUCRIS.pdf}},
  year         = {{2025}},
}