ON NUMBER RIGIDITY FOR PFAFFIAN POINT PROCESSES

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

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	ON NUMBER RIGIDITY FOR PFAFFIAN POINT PROCESSES
	Bufetov, Alexander, I 1,2; Nikitin, Pavel P.3,4; Qiu, Yanqi5
	2019-04-01
发表期刊	MOSCOW MATHEMATICAL JOURNAL
ISSN	1609-3321
卷号	19 期号:2 页码:217-274
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.
关键词	Pfaffian point process stationary point process number rigidity
DOI	10.17323/1609-4514-2019-19-2-217-274
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000475756300003
出版者	INDEPENDENT UNIV MOSCOW-IUM
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35219
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.