Some properties of stationary determinantal point processes on Z

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作者信息关键词期刊信息基础信息归属信息摘要

成果类型：

期刊论文

作者：

Fan, Aihua*;Fan, Shilei;Qiu, Yanqi

通讯作者：

Fan, Aihua

作者机构：

[Fan, Aihua; Fan, Shilei] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.

[Fan, Aihua] Univ Picardie, CNRS, UMR 7352, LAMFA, 33 Rue St Leu, Amiens, France.

[Fan, Shilei] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China.

[Qiu, Yanqi] Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China.

[Qiu, Yanqi] Chinese Acad Sci, AMSS, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China.

通讯机构：

[Fan, Aihua] C

[Fan, Aihua] U

Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.

Univ Picardie, CNRS, UMR 7352, LAMFA, 33 Rue St Leu, Amiens, France.

语种：

英文

关键词：

37A50 (secondary);60G10;60G55 (primary)

期刊：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

ISSN：

0024-6107

年：

2018

卷：

期：

页码：

517-535

DOI：

10.1112/jlms.12145

基金类别：

A. H. FAN was supported by NSF of China (Grant No. 11471132); S. L. FAN was supported by NSF of China (Grant No. 11401236) and self-determined research funds of CCNU (Grant No. CCNU17QN0009); Y. Q. QIU was supported by NSF of China (Grants Nos. Y7116335K1 and 11688101).

机构署名：

本校为第一且通讯机构

院系归属：

数学与统计学学院

摘要：

We study properties of stationary determinantal point processes (Formula presented.) on (Formula presented.) from different points of views. It is proved that (Formula presented.) is almost surely Bohr-dense and good universal for almost everywhere convergence in (Formula presented.), and that (Formula presented.) is not syndetic but (Formula presented.). For the associated centered random field, we obtain a sub-Gaussian property, a Salem–Littlewood inequality and a Khintchi...

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Some properties of stationary determinantal point processes on Z

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