THE STOCHASTIC HEAT EQUATION AS THE LIMIT OF A STIRRING DYNAMICS PERTURBED BY A VOTER MODEL

• 成果类型: Article
• 署名作者: Jara, Milton; Landim, Claudio
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/22-AAP1866
• 发表日期: 2023
• 页码: 4163-4209
• 关键词: equilibrium fluctuations; hydrodynamics

摘要

We prove that in dimension d <= 3 a modified density field of a stirring dynamics perturbed by a voter model converges to the stochastic heat equation.