Statistical properties of mostly contracting fast-slow partially hyperbolic systems

• 成果类型: Article
• 署名作者: De Simoi, Jacopo; Liverani, Carlangelo
• 署名单位: University of Toronto; University of Rome Tor Vergata
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-016-0651-y
• 发表日期: 2016
• 页码: 147-227
• 关键词: srb measures; DYNAMICAL-SYSTEMS; central direction; decay

摘要

We consider a class of partially hyperbolic systems on described by maps where are expanding maps of the circle. For sufficiently small and generic in an open set, we precisely classify the SRB measures for and their statistical properties, including exponential decay of correlation for Holder observables with explicit and nearly optimal bounds on the decay rate.