Annealed and quenched limit theorems for random expanding dynamical systems

• 成果类型: Article
• 署名作者: Aimino, Romain; Nicol, Matthew; Vaienti, Sandro
• 署名单位: Centre National de la Recherche Scientifique (CNRS); CNRS - Institute of Physics (INP); Aix-Marseille Universite; Aix-Marseille Universite; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute of Physics (INP); Universite de Toulon; University of Houston System; University of Houston
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-014-0571-y
• 发表日期: 2015
• 页码: 233-274
• 关键词: continuous invariant-measures; random transformations; random maps; LAW; PRINCIPLE

摘要

In this paper, we investigate annealed and quenched limit theorems for random expanding dynamical systems. Making use of functional analytic techniques and more probabilistic arguments with martingales, we prove annealed versions of a central limit theorem, a large deviation principle, a local limit theorem, and an almost sure invariance principle. We also discuss the quenched central limit theorem, dynamical Borel-Cantelli lemmas, Erdos-R,nyi laws and concentration inequalities.