KP governs random growth off a 1-dimensional substrate
| Author | dc.contributor.author | Quastel, Jeremy | |
| Author | dc.contributor.author | Remenik Zisis, Daniel | |
| Admission date | dc.date.accessioned | 2022-06-06T19:42:00Z | |
| Available date | dc.date.available | 2022-06-06T19:42:00Z | |
| Publication date | dc.date.issued | 2022 | |
| Cita de ítem | dc.identifier.citation | Forum of Mathematics, Pi (2022), Vol. 10:e10 1–26 | es_ES |
| Identifier | dc.identifier.other | 10.1017/fmp.2021.9 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/185869 | |
| Abstract | dc.description.abstract | The logarithmic derivative of the marginal distributions of randomly fluctuating interfaces in one dimension on a large scale evolve according to the Kadomtsev-Petviashvili (KP) equation. This is derived algebraically from a Fredholm determinant obtained in [MQR17] for the Kardar-Parisi-Zhang (KPZ) fixed point as the limit of the transition probabilities of TASEP, a special solvable model in the KPZ universality class. The Tracy-Widom distributions appear as special self-similar solutions of the KP and Korteweg-de Vries equations. In addition, it is noted that several known exact solutions of the KPZ equation also solve the KP equation. | es_ES |
| Patrocinador | dc.description.sponsorship | Natural Sciences and Engineering Research Council of Canada (NSERC) CGIAR Killam research fellowship CMM ANID PIA AFB170001 Programa Iniciativa Cientifica Milenio grant through Nucleus Millenium Stochastic Models of Complex and Disordered Systems NC120062 Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT) CONICYT FONDECYT 1201914 | es_ES |
| Lenguage | dc.language.iso | en | es_ES |
| Publisher | dc.publisher | Cambridge University Press | es_ES |
| Type of license | dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
| Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
| Source | dc.source | Forum of Mathematics Pi | es_ES |
| Keywords | dc.subject | Tau-function | es_ES |
| Keywords | dc.subject | Free-energy | es_ES |
| Keywords | dc.subject | Distributions | es_ES |
| Keywords | dc.subject | Equation | es_ES |
| Keywords | dc.subject | Airy | es_ES |
| Keywords | dc.subject | Fluctuations | es_ES |
| Keywords | dc.subject | SEVOLUTION | es_ES |
| Keywords | dc.subject | Determinants | es_ES |
| Keywords | dc.subject | Evolution | es_ES |
| Título | dc.title | KP governs random growth off a 1-dimensional substrate | es_ES |
| Document type | dc.type | Artículo de revista | es_ES |
| dc.description.version | dc.description.version | Versión publicada - versión final del editor | es_ES |
| dcterms.accessRights | dcterms.accessRights | Acceso abierto | es_ES |
| Cataloguer | uchile.catalogador | apc | es_ES |
| Indexation | uchile.index | Artículo de publícación WoS | es_ES |
Files in this item
This item appears in the following Collection(s)
-
Artículos de revistas
Artículos de revistas
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 United States