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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, Shilei1,6; Qiu, Yanqi7,8
2018-10-01
Source PublicationPROBABILITY THEORY AND RELATED FIELDS
ISSN0178-8051
Volume172Issue:1-2Pages:31-69
AbstractFor 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.
KeywordBergman kernel Determinantal point process Conditional measure Deletion and insertion tolerance Palm equivalence Monotone coupling
DOI10.1007/s00440-017-0803-z
Language英语
Funding ProjectEuropean 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 Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000443981900002
PublisherSPRINGER HEIDELBERG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31249
Collection数学所
Affiliation1.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
Recommended Citation
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.
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