Conditional measures for Pfaffian point processes: Conditioning on a bounded domain

doi:10.1214/20-AIHP1099

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	Conditional measures for Pfaffian point processes: Conditioning on a bounded domain
	Bufetov, Alexander, I 1,2,3; Cunden, Fabio Deelan 4; Qiu, Yanqi 5,6,7
	2021-05-01
发表期刊	ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES
ISSN	0246-0203
卷号	57 期号:2 页码:856-871
摘要	For a Pfaffian point process we show that its Palm measures, its normalised compositions with multiplicative functionals, and its conditional measures with respect to fixing the configuration in a bounded subset are Pfaffian point processes whose kernels we find explicitly.
关键词	Pfaffian point processes Quaternion determinants Conditional measures Palm measures
DOI	10.1214/20-AIHP1099
收录类别	SCI
语种	英语
资助项目	European Research Council (ERC) under the European Union[647133] ; Agence Nationale de Recherche[ANR-18-CE40-0035] ; Russian Foundation for Basic Research[18-31-20031] ; European Research Council[669306] ; Gruppo Nazionale di Fisica Matematica GNFM-INdAM ; 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	Statistics & Probability
WOS记录号	WOS:000677592900012
出版者	INST MATHEMATICAL STATISTICS-IMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58994
专题	中国科学院数学与系统科学研究院
通讯作者	Bufetov, Alexander, I
作者单位	1.Aix Marseille Univ, Inst Math Marseille, UMR7373, Cent Marseille,CNRS, 39 Rue F Joliot Curie 13453, F-13453 Marseille, France 2.RAS, Steklov Math Inst, Moscow, Russia 3.Inst Informat Transmiss Problems, Moscow, Russia 4.Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy 5.Chinese Acad Sci, AMSS, Inst Math, Beijing, Peoples R China 6.Hua Loo Keng Key Lab Math, Beijing, Peoples R China 7.Univ Paul Sabatier, Inst Math Toulouse, CNRS, Toulouse, France
推荐引用方式 GB/T 7714	Bufetov, Alexander, I,Cunden, Fabio Deelan,Qiu, Yanqi. Conditional measures for Pfaffian point processes: Conditioning on a bounded domain[J]. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES,2021,57(2):856-871.
APA	Bufetov, Alexander, I,Cunden, Fabio Deelan,&Qiu, Yanqi.(2021).Conditional measures for Pfaffian point processes: Conditioning on a bounded domain.ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES,57(2),856-871.
MLA	Bufetov, Alexander, I,et al."Conditional measures for Pfaffian point processes: Conditioning on a bounded domain".ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 57.2(2021):856-871.