KPZ EQUATION LIMIT OF HIGHER-SPIN EXCLUSION PROCESSES
成果类型:
Article
署名作者:
Corwin, Ivan; Tsai, Li-Cheng
署名单位:
Columbia University; Sorbonne Universite; Stanford University
刊物名称:
ANNALS OF PROBABILITY
ISSN/ISSBN:
0091-1798
DOI:
10.1214/16-AOP1101
发表日期:
2017
页码:
1771-1798
关键词:
摘要:
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.
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