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Some properties of stationary determinantal point processes on Z

文献类型：期刊论文

作者Fan, Aihua1,2; Fan, Shilei1,3; Qiu, Yanqi4,5,6
刊名JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
出版日期2018-12-01
卷号98期号:3页码:517-535
ISSN号0024-6107
DOI10.1112/jlms.12145
英文摘要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.
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
语种英语
WOS记录号WOS:000452299700002
出版者WILEY
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/31900]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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