KPZ equation limit of higher-spin exclusion processes

Authors
Corwin, Ivan Tsai, Li-Cheng
Citation
Corwin, Ivan et Tsai, Li-cheng, KPZ equation limit of higher-spin exclusion processes, Annals of probability (Online) , 45(4), 2017, pp. 1771-1798
Journal title
Annals of probability (Online) → ACNP
ISSN journal
2168894X
Volume
45
Issue
4
Year of publication
2017
Pages
1771 - 1798
Database
ACNP
SICI code
Abstract
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.