Some properties of stationary determinantal point processes on Z

doi:10.1112/jlms.12145

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	Some properties of stationary determinantal point processes on Z
	Fan, Aihua 1,2; Fan, Shilei 1,3; Qiu, Yanqi4,5,6
	2018-12-01
发表期刊	JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
ISSN	0024-6107
卷号	98 期号:3 页码:517-535
摘要	We study properties of stationary determinantal point processes X on Z from different points of views. It is proved that X boolean AND N is almost surely Bohr-dense and good universal for almost everywhere convergence in L1, and that X is not syndetic but X+X=Z. For the associated centered random field, we obtain a sub-Gaussian property, a Salem-Littlewood inequality and a Khintchine-Kahane inequality.
DOI	10.1112/jlms.12145
语种	英语
资助项目	NSF of China[Y7116335K1] ; NSF of China[11688101] ; self-determined research funds of CCNU[CCNU17QN0009]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000452299700002
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31901
专题	数学所
通讯作者	Fan, Aihua
作者单位	1.Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China 2.Univ Picardie, CNRS, UMR 7352, LAMFA, 33 Rue St Leu, Amiens, France 3.Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China 4.Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China 5.Chinese Acad Sci, AMSS, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 6.Univ Paul Sabatier, CNRS, Inst Math Toulouse, F-31330 Toulouse, France
推荐引用方式 GB/T 7714	Fan, Aihua,Fan, Shilei,Qiu, Yanqi. Some properties of stationary determinantal point processes on Z[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES,2018,98(3):517-535.
APA	Fan, Aihua,Fan, Shilei,&Qiu, Yanqi.(2018).Some properties of stationary determinantal point processes on Z.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES,98(3),517-535.
MLA	Fan, Aihua,et al."Some properties of stationary determinantal point processes on Z".JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 98.3(2018):517-535.