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J-Hermitian determinantal point processes: balanced rigidity and balanced Palm equivalence
Bufetov, Alexander I.1,2,3,4; Qiu, Yanqi5,6,7
2018-06-01
Source PublicationMATHEMATISCHE ANNALEN
ISSN0025-5831
Volume371Issue:1-2Pages:127-188
AbstractWe 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.
DOI10.1007/s00208-017-1627-y
Language英语
Funding ProjectA*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 Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000430469800003
PublisherSPRINGER HEIDELBERG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30195
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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