文章基本信息

标题：Rigidity of the $\operatorname{Sine} _{\beta }$ process
本地全文：下载
作者：Chhaibi Reda ; Joseph Najnudel
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2018
卷号：23
DOI：10.1214/18-ECP195
语种：English
出版社：Electronic Communications in Probability
摘要：We show that the $\operatorname{Sine} _{\beta }$ point process, defined as the scaling limit of the Circular Beta Ensemble when the dimension goes to infinity, and generalizing the determinantal sine-kernel process, is rigid in the sense of Ghosh and Peres: the number of points in a given bounded Borel set $B$ is almost surely equal to a measurable function of the position of the points outside $B$.