From Alternating Sign Matrices to the Gaussian Unitary Ensemble
The aim of this note is to prove that fluctuations of uniformly random alternating sign matrices (equivalently, configurations of the 6-vertex model with domain wall boundary conditions) near the boundary are described by the Gaussian Unitary Ensemble and the GUE-corners process.
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2016
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| Online Access: | http://hdl.handle.net/1721.1/104368 https://orcid.org/0000-0002-9828-5862 |
| _version_ | 1826214340302209024 |
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| author | Gorin, Vadim |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Gorin, Vadim |
| author_sort | Gorin, Vadim |
| collection | MIT |
| description | The aim of this note is to prove that fluctuations of uniformly random alternating sign matrices (equivalently, configurations of the 6-vertex model with domain wall boundary conditions) near the boundary are described by the Gaussian Unitary Ensemble and the GUE-corners process. |
| first_indexed | 2024-09-23T16:03:29Z |
| format | Article |
| id | mit-1721.1/104368 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:03:29Z |
| publishDate | 2016 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1043682022-10-02T06:03:55Z From Alternating Sign Matrices to the Gaussian Unitary Ensemble Gorin, Vadim Massachusetts Institute of Technology. Department of Mathematics Gorin, Vadim The aim of this note is to prove that fluctuations of uniformly random alternating sign matrices (equivalently, configurations of the 6-vertex model with domain wall boundary conditions) near the boundary are described by the Gaussian Unitary Ensemble and the GUE-corners process. Centre National de la Recherche Scientifique (France) (Grant 11-01-93105) Russian Basic Research Foundation (Grant 11-01-93105) 2016-09-22T18:02:46Z 2016-09-22T18:02:46Z 2014-06 2013-07 2016-08-18T15:24:10Z Article http://purl.org/eprint/type/JournalArticle 0010-3616 1432-0916 http://hdl.handle.net/1721.1/104368 Gorin, Vadim. “From Alternating Sign Matrices to the Gaussian Unitary Ensemble.” Communications in Mathematical Physics 332.1 (2014): 437–447. https://orcid.org/0000-0002-9828-5862 en http://dx.doi.org/10.1007/s00220-014-2084-z Communications in Mathematical Physics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ Springer-Verlag Berlin Heidelberg application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Gorin, Vadim From Alternating Sign Matrices to the Gaussian Unitary Ensemble |
| title | From Alternating Sign Matrices to the Gaussian Unitary Ensemble |
| title_full | From Alternating Sign Matrices to the Gaussian Unitary Ensemble |
| title_fullStr | From Alternating Sign Matrices to the Gaussian Unitary Ensemble |
| title_full_unstemmed | From Alternating Sign Matrices to the Gaussian Unitary Ensemble |
| title_short | From Alternating Sign Matrices to the Gaussian Unitary Ensemble |
| title_sort | from alternating sign matrices to the gaussian unitary ensemble |
| url | http://hdl.handle.net/1721.1/104368 https://orcid.org/0000-0002-9828-5862 |
| work_keys_str_mv | AT gorinvadim fromalternatingsignmatricestothegaussianunitaryensemble |