An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles
We survey the current status of universality limits for m-point correlation functions in the bulk and at the edge for unitary ensembles, primarily when the limiting kernels are Airy, Bessel, or Sine kernels. In particular, we consider underlying measures on compact intervals, and fixed and varying e...
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2016
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/147843 |
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| Zitieren: | An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles / D.S. Lubinsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 98 назв. — англ. |
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irk-123456789-1478432019-02-17T01:27:28Z An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles Lubinsky, D.S. We survey the current status of universality limits for m-point correlation functions in the bulk and at the edge for unitary ensembles, primarily when the limiting kernels are Airy, Bessel, or Sine kernels. In particular, we consider underlying measures on compact intervals, and fixed and varying exponential weights, as well as universality limits for a variety of orthogonal systems. The scope of the survey is quite narrow: we do not consider β ensembles for β≠2, nor general Hermitian matrices with independent entries, let alone more general settings. We include some open problems. 2016 Article An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles / D.S. Lubinsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 98 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 15B52; 60B20; 60F99; 42C05; 33C50 DOI:10.3842/SIGMA.2016.078 http://dspace.nbuv.gov.ua/handle/123456789/147843 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We survey the current status of universality limits for m-point correlation functions in the bulk and at the edge for unitary ensembles, primarily when the limiting kernels are Airy, Bessel, or Sine kernels. In particular, we consider underlying measures on compact intervals, and fixed and varying exponential weights, as well as universality limits for a variety of orthogonal systems. The scope of the survey is quite narrow: we do not consider β ensembles for β≠2, nor general Hermitian matrices with independent entries, let alone more general settings. We include some open problems. |
| format |
Article |
| author |
Lubinsky, D.S. |
| spellingShingle |
Lubinsky, D.S. An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Lubinsky, D.S. |
| author_sort |
Lubinsky, D.S. |
| title |
An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles |
| title_short |
An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles |
| title_full |
An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles |
| title_fullStr |
An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles |
| title_full_unstemmed |
An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles |
| title_sort |
update on local universality limits for correlation functions generated by unitary ensembles |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147843 |
| citation_txt |
An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles / D.S. Lubinsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 98 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2025-07-11T02:57:17Z |
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2025-07-11T02:57:17Z |
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