J-Hermitian determinantal point processes: balanced rigidity and balanced Palm equivalence

doi:10.1007/s00208-017-1627-y

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	J-Hermitian determinantal point processes: balanced rigidity and balanced Palm equivalence
	Bufetov, Alexander I.1,2,3,4; Qiu, Yanqi 5,6,7
	2018-06-01
发表期刊	MATHEMATISCHE ANNALEN
ISSN	0025-5831
卷号	371 期号:1-2 页码:127-188
摘要	We study Palm measures of determinantal point processes with J-Hermitian correlation kernels. A point process on the punctured real line is said to be balanced rigid if for any precompact subset , the difference between the numbers of particles of a configuration inside and is almost surely determined by the configuration outside B. The point process is said to have the balanced Palm equivalence property if any reduced Palm measure conditioned at 2n distinct points, n in and n in , is equivalent to the . We formulate general criteria for determinantal point processes with J-Hermitian correlation kernels to be balanced rigid and to have the balanced Palm equivalence property and prove, in particular, that the determinantal point processes with Whittaker kernels of Borodin and Olshanski are balanced rigid and have the balanced Palm equivalence property.
DOI	10.1007/s00208-017-1627-y
语种	英语
资助项目	A*MIDEX project - Programme "Investissements d'Avenir" of the Government of the French Republic[ANR-11-IDEX-0001-02] ; European Research Council (ERC) under the European Union's Horizon research and innovation programme[647133] ; Russian Federation[MD 5991.2016.1] ; Russian Academic Excellence Project '5-100' ; Programme "Investissements d'Avenir" of the Government of the French Republic[IDEX UNITI-ANR-11-IDEX-0002-02] ; Simons Foundation[346300] ; matching Polish MNiSW fund ; NSF of China[11688101]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000430469800003
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30195
专题	中国科学院数学与系统科学研究院
通讯作者	Qiu, Yanqi
作者单位	1.Aix Marseille Univ, CNRS, Cent Marseille, I2M,UMR7373, 39 Rue F Juliot Curie, F-13453 Marseille, France 2.RAS, Steklov Math Inst, Moscow, Russia 3.Inst Informat Transmiss Problems, Moscow, Russia 4.Natl Res Univ Higher Sch Econ, Moscow, Russia 5.Univ Paul Sabatier, Inst Math Toulouse, CNRS, 118 Route Narbonne, F-31062 Toulouse 9, France 6.Chinese Acad Sci, Inst Math, AMSS, Beijing, Peoples R China 7.Hua Loo Keng Key Lab Math, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Bufetov, Alexander I.,Qiu, Yanqi. J-Hermitian determinantal point processes: balanced rigidity and balanced Palm equivalence[J]. MATHEMATISCHE ANNALEN,2018,371(1-2):127-188.
APA	Bufetov, Alexander I.,&Qiu, Yanqi.(2018).J-Hermitian determinantal point processes: balanced rigidity and balanced Palm equivalence.MATHEMATISCHE ANNALEN,371(1-2),127-188.
MLA	Bufetov, Alexander I.,et al."J-Hermitian determinantal point processes: balanced rigidity and balanced Palm equivalence".MATHEMATISCHE ANNALEN 371.1-2(2018):127-188.