KPZ equation limit of higher-spin exclusion processes

Ivan Corwin ^[1] ; Li-Cheng Tsai ^[2]
1. [1] Columbia University
  
  Columbia University
  
  Estados Unidos
2. [2] Stanford University
  
  Stanford University
  
  Estados Unidos
Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 45, Nº. 3, 2017, págs. 1771-1798
Idioma: inglés
DOI: 10.1214/16-AOP1101
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Resumen
- We prove that under a particular weak scaling, the 4-parameter interacting particle system introduced by Corwin and Petrov [Comm. Math. Phys. 343 (2016) 651–700] converges to the Kardar–Parisi–Zhang (KPZ) equation. This expands the relatively small number of systems for which weak universality of the KPZ equation has been demonstrated.