ON NUMBER RIGIDITY FOR PFAFFIAN POINT PROCESSES

doi:10.17323/1609-4514-2019-19-2-217-274

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 数学所

	ON NUMBER RIGIDITY FOR PFAFFIAN POINT PROCESSES
	Bufetov, Alexander, I 1,2; Nikitin, Pavel P.3,4; Qiu, Yanqi5
刊名	MOSCOW MATHEMATICAL JOURNAL
	2019-04-01
卷号	19 期号:2 页码:217-274
关键词	Pfaffian point process stationary point process number rigidity
ISSN号	1609-3321
DOI	10.17323/1609-4514-2019-19-2-217-274
英文摘要	Our first result states that the orthogonal and symplectic Bessel processes are rigid in the sense of Ghosh and Peres. Our argument in the Bessel case proceeds by an estimate of the variance of additive statistics in the spirit of Ghosh and Peres. Second, a sufficient condition for number rigidity of stationary Pfaffian processes, relying on the Kolmogorov criterion for interpolation of stationary processes and applicable, in particular, to Pfaffian sine processes, is given in terms of the asymptotics of the spectral measure for additive statistics.
资助项目	European Research Council (ERC) under the European Union[647133] ; RFBR[18-31-20031] ; RFBR[17-01-00433] ; National Natural Science Foundation of China[NSFC Y7116335K1] ; National Natural Science Foundation of China[NSFC 11801547] ; National Natural Science Foundation of China[NSFC 11688101]
WOS研究方向	Mathematics
语种	英语
出版者	INDEPENDENT UNIV MOSCOW-IUM
WOS记录号	WOS:000475756300003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/35218]
专题	数学所
通讯作者	Bufetov, Alexander, I
作者单位	1.Aix Marseille Univ, Cent Marseille, CNRS, Inst Math Marseille,UMR7373, 39 Rue F Joliot Curie, F-13453 Marseille, France 2.RAS, Steklov Math Inst, Moscow, Russia 3.Russian Acad Sci, VA Steklov Inst Math, St Petersburg Dept, St Petersburg 191023, Russia 4.St Petersburg State Univ, St Petersburg, Russia 5.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Bufetov, Alexander, I,Nikitin, Pavel P.,Qiu, Yanqi. ON NUMBER RIGIDITY FOR PFAFFIAN POINT PROCESSES[J]. MOSCOW MATHEMATICAL JOURNAL,2019,19(2):217-274.
APA	Bufetov, Alexander, I,Nikitin, Pavel P.,&Qiu, Yanqi.(2019).ON NUMBER RIGIDITY FOR PFAFFIAN POINT PROCESSES.MOSCOW MATHEMATICAL JOURNAL,19(2),217-274.
MLA	Bufetov, Alexander, I,et al."ON NUMBER RIGIDITY FOR PFAFFIAN POINT PROCESSES".MOSCOW MATHEMATICAL JOURNAL 19.2(2019):217-274.