Moments Match between the KPZ Equation and the Airy Point Process
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Moments Match between the KPZ Equation and the Airy Point Process
|
|
| Creator |
Borodin, A.
Gorin, V. |
|
| Description |
The results of Amir-Corwin-Quastel, Calabrese-Le Doussal-Rosso, Dotsenko, and Sasamoto-Spohn imply that the one-point distribution of the solution of the KPZ equation with the narrow wedge initial condition coincides with that for a multiplicative statistics of the Airy determinantal random point process. Taking Taylor coefficients of the two sides yields moment identities. We provide a simple direct proof of those via a combinatorial match of their multivariate integral representations.
|
|
| Date |
2019-02-16T16:26:38Z
2019-02-16T16:26:38Z 2016 |
|
| Type |
Article
|
|
| Identifier |
Moments Match between the KPZ Equation and the Airy Point Process / A. Borodin, V. Gorin // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 20 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 60B20; 60H15; 33C10 DOI:10.3842/SIGMA.2016.102 http://dspace.nbuv.gov.ua/handle/123456789/148003 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|