Coupling of the GB set property for ergodic averages期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Coupling of the GB set property for ergodic averages

Authors:	Michel Weber

Institution:	(1) Institut de Recherche Mathématique Avancée, Université Louis Pasteur et CNRS, 7, rue René Descartes, 67084 Strasbourg Cedex, France

Abstract:	Let (Y,,,T) be an ergodic dynamical system. LetA be an nonempty subset ofL ²() such that $I(A) = \int_0^{diam(A)} {\sqrt {\log N(A,u)} du< \infty }$ , whereA=sup{\|\|sȒt\|\|₂,s, tA} andN(A, u) is the smallest number ofL ²()-open balls of radiusu, centered inA, enough to coverA. Let $C(A) = \left\{ {\tfrac{1}{n}\Sigma _{i - 0}^{n - 1} f \circ T^i ,n \geqslant 1,f \in A} \right\}$ . We prove as a consequence of a more general result, thatC(A) is aGB subset ofL ²().

Keywords:	Ergodic dynamical system coupling Gaussian processes GB sets
本文献已被 SpringerLink 等数据库收录！