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Some properties of stationary determinantal point processes on Z
Fan, Aihua1,2; Fan, Shilei1,3; Qiu, Yanqi4,5,6
2018-12-01
Source PublicationJOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
ISSN0024-6107
Volume98Issue:3Pages:517-535
AbstractWe 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.
DOI10.1112/jlms.12145
Language英语
Funding ProjectNSF of China[Y7116335K1] ; NSF of China[11688101] ; self-determined research funds of CCNU[CCNU17QN0009]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000452299700002
PublisherWILEY
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31901
Collection数学所
Affiliation1.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
Recommended Citation
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.
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