Carne-Varopoulos bounds for centered random walks

• 成果类型: Article
• 署名作者: Mathieu, Pierre
• 署名单位: Aix-Marseille Universite
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117906000000052
• 发表日期: 2006
• 页码: 987-1011
• 关键词: markov-chains; GROWTH

摘要

We extend the Carne-Varopoulos upper bound on the probability transitions of a Markov chain to a certain class of nonreversible processes by introducing the definition of a centering measure. In the case of random walks on a group, we study the connections between different notions of centering.