Voter models with heterozygosity selection

• 成果类型: Article
• 署名作者: Sturm, Anja; Swart, Jan
• 署名单位: University of Delaware
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/07-AAP444
• 发表日期: 2008
• 页码: 59-99
• 关键词: annihilating random-walks; lotka-volterra models; particle-systems; coexistence; survival; THEOREM

摘要

This paper studies variations of the usual voter model that favor types that are locally less common. Such models are dual to certain systems of branching annihilating random walks that are parity preserving. For both the voter models and their dual branching annihilating systems we determine all homogeneous invariant laws, and we study convergence to these laws started from other initial laws.