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Rescaling Ward Identities in the Random Normal Matrix Model

Ameur, Yacin LU ; Kang, Nam Gyu and Makarov, Nikolai (2018) In Constructive Approximation
Abstract

We study spacing distribution for the eigenvalues of a random normal matrix, in particular at points on the boundary of the spectrum. Our approach uses Ward’s (or the “rescaled loop”) equation—an identity satisfied by all sequential limits of the rescaled one-point functions.

Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
epub
subject
keywords
Random normal matrix, Translation invariance, Universality, Ward’s equation
in
Constructive Approximation
pages
65 pages
publisher
Springer
external identifiers
  • scopus:85044772137
ISSN
0176-4276
DOI
10.1007/s00365-018-9423-9
language
English
LU publication?
yes
id
0849b984-1a46-4c07-9edd-12e94426573a
date added to LUP
2018-04-10 11:07:49
date last changed
2019-02-20 11:13:30
@article{0849b984-1a46-4c07-9edd-12e94426573a,
  abstract     = {<p>We study spacing distribution for the eigenvalues of a random normal matrix, in particular at points on the boundary of the spectrum. Our approach uses Ward’s (or the “rescaled loop”) equation—an identity satisfied by all sequential limits of the rescaled one-point functions.</p>},
  author       = {Ameur, Yacin and Kang, Nam Gyu and Makarov, Nikolai},
  issn         = {0176-4276},
  keyword      = {Random normal matrix,Translation invariance,Universality,Ward’s equation},
  language     = {eng},
  month        = {04},
  pages        = {65},
  publisher    = {Springer},
  series       = {Constructive Approximation},
  title        = {Rescaling Ward Identities in the Random Normal Matrix Model},
  url          = {http://dx.doi.org/10.1007/s00365-018-9423-9},
  year         = {2018},
}