Coupling of the GB set property for ergodic averages |
| |
Authors: | Michel Weber |
| |
Affiliation: | (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 ofL2() such that, whereA=sup{||sȒt||2,s, tA} andN(A, u) is the smallest number ofL2()-open balls of radiusu, centered inA, enough to coverA. Let. We prove as a consequence of a more general result, thatC(A) is aGB subset ofL2(). |
| |
Keywords: | Ergodic dynamical system coupling Gaussian processes GB sets |
本文献已被 SpringerLink 等数据库收录! |
|