Rescaling Ward Identities in the Random Normal Matrix Model
(2019) In Constructive Approximation 50(1). p.63-127- 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:
https://lup.lub.lu.se/record/0849b984-1a46-4c07-9edd-12e94426573a
- author
- Ameur, Yacin LU ; Kang, Nam Gyu and Makarov, Nikolai
- organization
- publishing date
- 2019
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Random normal matrix, Translation invariance, Universality, Ward’s equation
- in
- Constructive Approximation
- volume
- 50
- issue
- 1
- 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
- 2022-04-25 06:21:36
@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}},
keywords = {{Random normal matrix; Translation invariance; Universality; Ward’s equation}},
language = {{eng}},
number = {{1}},
pages = {{63--127}},
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}},
doi = {{10.1007/s00365-018-9423-9}},
volume = {{50}},
year = {{2019}},
}