CONVERGENCE IN DISTRIBUTION FOR SUBCRITICAL 2D ORIENTED PERCOLATION SEEN FROM ITS RIGHTMOST POINT

• 成果类型: Article
• 署名作者: Andjel, E. D.
• 署名单位: Aix-Marseille Universite
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/13-AOP841
• 发表日期: 2014
• 页码: 1285-1296
• 关键词: contact process; right edge; dimensions

摘要

We study subcritical two-dimensional oriented percolation seen from its rightmost point on the set of infinite configurations which are bounded above. This a Feller process whose state space is not compact and has no invariant measures. We prove that it converges in distribution to a measure which charges only finite configurations.