ALMOST SUBADDITIVE EXTENSIONS OF KINGMAN ERGODIC THEOREM

• 成果类型: Article
• 署名作者: SCHURGER, K
• 署名单位: Australian National University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176990224
• 发表日期: 1991
• 页码: 1575-1586
• 关键词: sequences

摘要

Based on two notions of almost subadditivity which were introduced by Derriennic and Schurger, two a.s. limit theorems are proved which both generalize Kingman's subadditive ergodic theorem. These results, being valid under weak moment conditions, are obtained by short proofs. One of these proofs is completely elementary and does not even make use of Birkhoff's ergodic theorem which, instead, is obtained as a by-product. Finally, an improvement of Liggett's a.s. limit theorem is given.