A COMPLETE CONVERGENCE THEOREM FOR VOTER MODEL PERTURBATIONS

• 成果类型: Article
• 署名作者: Cox, J. Theodore; Perkins, Edwin A.
• 署名单位: Syracuse University; University of British Columbia
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/13-AAP919
• 发表日期: 2014
• 页码: 150-197
• 关键词: contact-processes; coexistence; survival

摘要

We prove a complete convergence theorem for a class of symmetric voter model perturbations with annihilating duals. A special case of interest covered by our results is the stochastic spatial Lotka-Volterra model introduced by Neuhauser and Pacala [Ann. Appl. Probab. 9 (1999) 1226-1259]. We also treat two additional models, the affine and geometric voter models.