Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields
文献类型：期刊论文
| 作者 | Bufetov, Alexander I.1,2,3,4; Qiu, Yanqi5,6,7
|
| 刊名 | COMPOSITIO MATHEMATICA
 |
| 出版日期 | 2017-12-01 |
| 卷号 | 153期号:12页码:2482-2533 |
| 关键词 | ergodic measures random matrices non-Archimedean locally compact fields Vershik-Kerov ergodic method Ismagilov-Olshanski multiplicativity orbital integrals inductively compact groups |
| ISSN号 | 0010-437X |
| DOI | 10.1112/S0010437X17007412 |
| 英文摘要 | Let F be a non-discrete non-Archimedean locally compact field and OF the ring of integers in F. The main results of this paper are the classification of ergodic probability measures on the space Mat(N, F) of infinite matrices with entries in F with respect to the natural action of the group GL(infinity, O-F) x GL(infinity, O-F) and the classification, for non-dyadic F, of ergodic probability measures on the space Sym(N, F) of infinite symmetric matrices with respect to the natural action of the group GL(infinity, O-F). |
| 资助项目 | 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] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000413336600002 |
| 出版者 | CAMBRIDGE UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26779]  |
| 专题 | 数学所 |
| 通讯作者 | Bufetov, Alexander I. |
| 作者单位 | 1.Aix Marseille Univ, Cent Marseille, CNRS, I2M,UMR7373, 39 Rue F Juliot Curie, F-13453 Marseille, France 2.Steklov Inst Math, 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, AMSS, Inst Math, Beijing 100190, Peoples R China 7.Chinese Acad Sci, AMSS, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bufetov, Alexander I.,Qiu, Yanqi. Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields[J]. COMPOSITIO MATHEMATICA,2017,153(12):2482-2533. |
| APA | Bufetov, Alexander I.,&Qiu, Yanqi.(2017).Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields.COMPOSITIO MATHEMATICA,153(12),2482-2533. |
| MLA | Bufetov, Alexander I.,et al."Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields".COMPOSITIO MATHEMATICA 153.12(2017):2482-2533. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。