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
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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.