Kernels of conditional determinantal measures and the Lyons-Peres completeness conjecture
文献类型：期刊论文
| 作者 | Bufetov, Alexander, I5,6,7,8; Qiu, Yanqi2,3,4; Shamov, Alexander1 |
| 刊名 | JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2021 |
| 卷号 | 23期号:5页码:1477-1519 |
| 关键词 | Determinantal point processes Lyons-Peres completeness conjecture conditional measures tail triviality measure-valued martingales operator-valued martingales |
| ISSN号 | 1435-9855 |
| DOI | 10.4171/JEMS/1038 |
| 英文摘要 | The main result of this paper, Theorem 1.4, establishes a conjecture of Lyons and Peres: for a determinantal point process governed by a self-adjoint reproducing kernel, the system of kernels sampled at the points of a random configuration is complete in the range of the kernel. A key step in the proof, Lemma 1 9, states that conditioning on the configuration in a subset preserves the determinantal property, and the main Lemma 1 10 is a new local property for kernels of conditional point processes. In Theorem 1.6 we prove the triviality of the tail sigma-algebra for determinantal point processes governed by self-adjoint kernels. |
| 资助项目 | European Research Council (ERC) under the European Union[647133] ; Gabriel Lame Chair at the Chebyshev Laboratory of the SPbSU, a joint initiative of the French Embassy in the Russian Federation ; Saint-Petersburg State University ; IDEX - Programme Investissements d'Avenir of the Government of the French Republic[UNITI -ANR-11-IDEX-0002-02] ; NSF of China[NSFC Y7116335K1] ; NSF of China[NSFC 11801547] ; NSF of China[NSFC 11688101] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000658576400006 |
| 出版者 | EUROPEAN MATHEMATICAL SOC-EMS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58794]  |
| 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.Weizmann Inst Sci, Dept Math, Rehovot, Israel 2.Univ Paul Sabatier, Inst Math Toulouse, CNRS, Toulouse, France 3.Hua Loo Keng Key Lab Math, Beijing, Peoples R China 4.Chinese Acad Sci, Inst Math, AMSS, Beijing, Peoples R China 5.St Petersburg State Univ, Chebyshev Lab, St Petersburg, Russia 6.Inst Informat Transmiss Problems, Moscow, Russia 7.RAS, Steklov Math Inst, Moscow, Russia 8.Aix Marseille Univ, Cent Marseille, CNRS, Inst Math Marseille,UMR7373, F-13453 Marseille, France |
| 推荐引用方式 GB/T 7714 | Bufetov, Alexander, I,Qiu, Yanqi,Shamov, Alexander. Kernels of conditional determinantal measures and the Lyons-Peres completeness conjecture[J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,2021,23(5):1477-1519. |
| APA | Bufetov, Alexander, I,Qiu, Yanqi,&Shamov, Alexander.(2021).Kernels of conditional determinantal measures and the Lyons-Peres completeness conjecture.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,23(5),1477-1519. |
| MLA | Bufetov, Alexander, I,et al."Kernels of conditional determinantal measures and the Lyons-Peres completeness conjecture".JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY 23.5(2021):1477-1519. |
入库方式： OAI收割
来源：数学与系统科学研究院
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