The KPZ Equation and Moments of Random Matrices
The logarithm of the diagonal matrix element of a high power of a random matrix converges to the Cole–Hopf solution of the Kardar–Parisi–Zhang equation in the sense of one-point distributions. Key words: KPZ equation; Cole–Hopf solution; Airy process; random matrices.
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Co. Ltd. Ukrinformnauka
2020
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| Online Access: | https://hdl.handle.net/1721.1/124902 |
| _version_ | 1826211616104906752 |
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| author | Gorin, Vadim Sodin, Sasha |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Gorin, Vadim Sodin, Sasha |
| author_sort | Gorin, Vadim |
| collection | MIT |
| description | The logarithm of the diagonal matrix element of a high power of a random matrix converges to the Cole–Hopf solution of the Kardar–Parisi–Zhang equation in the sense of one-point distributions. Key words: KPZ equation; Cole–Hopf solution; Airy process; random matrices. |
| first_indexed | 2024-09-23T15:08:48Z |
| format | Article |
| id | mit-1721.1/124902 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:08:48Z |
| publishDate | 2020 |
| publisher | Co. Ltd. Ukrinformnauka |
| record_format | dspace |
| spelling | mit-1721.1/1249022022-10-02T00:53:41Z The KPZ Equation and Moments of Random Matrices Gorin, Vadim Sodin, Sasha Massachusetts Institute of Technology. Department of Mathematics The logarithm of the diagonal matrix element of a high power of a random matrix converges to the Cole–Hopf solution of the Kardar–Parisi–Zhang equation in the sense of one-point distributions. Key words: KPZ equation; Cole–Hopf solution; Airy process; random matrices. 2020-04-28T18:31:41Z 2020-04-28T18:31:41Z 2018-09 2018-01 2019-11-13T15:31:57Z Article http://purl.org/eprint/type/JournalArticle 1817-5805 1812-9471 https://hdl.handle.net/1721.1/124902 Gorin, Vadim and Sasha Sodin. “The KPZ Equation and Moments of Random Matrices.” Journal of Mathematical Physics, Analysis, Geometry 14, 3 (September 2018): 286–96. en http://dx.doi.org/10.15407/MAG14.03.286 Journal of Mathematical Physics, Analysis, Geometry Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Co. Ltd. Ukrinformnauka arXiv |
| spellingShingle | Gorin, Vadim Sodin, Sasha The KPZ Equation and Moments of Random Matrices |
| title | The KPZ Equation and Moments of Random Matrices |
| title_full | The KPZ Equation and Moments of Random Matrices |
| title_fullStr | The KPZ Equation and Moments of Random Matrices |
| title_full_unstemmed | The KPZ Equation and Moments of Random Matrices |
| title_short | The KPZ Equation and Moments of Random Matrices |
| title_sort | kpz equation and moments of random matrices |
| url | https://hdl.handle.net/1721.1/124902 |
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