Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields

doi:10.1112/S0010437X17007412

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	Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields
	Bufetov, Alexander I.1,2,3,4; Qiu, Yanqi5,6,7
刊名	COMPOSITIO MATHEMATICA
	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
出版者	CAMBRIDGE UNIV PRESS
WOS记录号	WOS:000413336600002
内容类型	期刊论文
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.