Random walks of infinite moment on free semigroups

• 成果类型: Article
• 署名作者: Forghani, Behrang; Tiozzo, Giulio
• 署名单位: Bowdoin College; University of Toronto
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-019-00911-7
• 发表日期: 2019
• 页码: 1099-1122
• 关键词: poisson boundary; number

摘要

We consider random walks on finitely or countably generated free semigroups, and identify their Poisson boundaries for classes of measures which fail to meet the classical entropy criteria, namely measures with infinite entropy or infinite logarithmic moment.