Equivalence of Palm measures for determinantal point processes governed by Bergman kernels

doi:10.1007/s00440-017-0803-z

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	Equivalence of Palm measures for determinantal point processes governed by Bergman kernels
	Bufetov, Alexander I.1,2,3,4,5; Fan, Shilei 1,6; Qiu, Yanqi7,8
	2018-10-01
发表期刊	PROBABILITY THEORY AND RELATED FIELDS
ISSN	0178-8051
卷号	172 期号:1-2 页码:31-69
摘要	For a determinantal point process induced by the reproducing kernel of the weighted Bergman space A2(U,.) over a domain U. Cd, we establish the mutual absolute continuity of reduced Palm measures of any order provided that the domain U contains a non-constant bounded holomorphic function. The result holds in all dimensions. The argument uses the H 8 (U)-module structure of A2(U,.). A corollary is the quasi-invariance of our determinantal point process under the natural action of the group of compactly supported diffeomorphisms of U.
关键词	Bergman kernel Determinantal point process Conditional measure Deletion and insertion tolerance Palm equivalence Monotone coupling
DOI	10.1007/s00440-017-0803-z
语种	英语
资助项目	European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme[647133] ; Russian Federation[MD 5991.2016.1] ; Russian Academic Excellence Project['5-100'] ; Chaire Gabriel Lame at the Chebyshev Laboratory of the SPbSU, a joint initiative of the French Embassy in the Russian Federation ; Saint-Petersburg State University ; Programme "Investissements d'Avenir" of theGovernment of the French Republic[IDEX UNITI-ANR-11-IDEX-0002-02]
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000443981900002
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/31249
专题	数学所
通讯作者	Qiu, Yanqi
作者单位	1.Aix Marseille Univ, CNRS, UMR 7373, Cent Marseille,Inst Math Marseille, 39 Rue F Joliot 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.St Petersburg State Univ, Chebyshev Lab, St Petersburg, Russia 6.Cent China Normal Univ, Sch Math & Stat, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China 7.Univ Paul Sabatier, Inst Math Toulouse, CNRS, 118 Route Narbonne, F-31062 Toulouse 9, France 8.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.,Fan, Shilei,Qiu, Yanqi. Equivalence of Palm measures for determinantal point processes governed by Bergman kernels[J]. PROBABILITY THEORY AND RELATED FIELDS,2018,172(1-2):31-69.
APA	Bufetov, Alexander I.,Fan, Shilei,&Qiu, Yanqi.(2018).Equivalence of Palm measures for determinantal point processes governed by Bergman kernels.PROBABILITY THEORY AND RELATED FIELDS,172(1-2),31-69.
MLA	Bufetov, Alexander I.,et al."Equivalence of Palm measures for determinantal point processes governed by Bergman kernels".PROBABILITY THEORY AND RELATED FIELDS 172.1-2(2018):31-69.