Subexponential decay of correlations

• 成果类型: Article
• 署名作者: Sarig, O
• 署名单位: University of Warwick
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-002-0248-5
• 发表日期: 2002
• 页码: 629-653
• 关键词: thermodynamic formalism; ergodic properties; MAPS; PRODUCTS; rates

摘要

We describe a method for proving subexponential lower bounds for correlations functions, and apply it to study decay of correlations for maps with countable Markov partitions. One result is that LS Young's upper estimates [Y2] are optimal in many situations. Our method is based on a general result concerning the asymptotics of renewal sequences of bounded operators acting on Banach spaces, which we apply to the iterates of the transfer operator.