Rescaled voter models converge to super-Brownian motion

• 成果类型: Article
• 署名作者: Cox, JT; Durrett, R; Perkins, EA
• 署名单位: Syracuse University; Cornell University; University of British Columbia
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 2000
• 页码: 185-234
• 关键词: partial-differential equations; measure diffusion

摘要

We show that a sequence of voter models, suitably rescaled in space and time, converges weakly to super-Brownian motion. The result includes both nearest neighbor and longer range voter models and complements a limit theorem of Mueller and Tribe in one dimension.