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
	2017-12-01
发表期刊	COMPOSITIO MATHEMATICA
ISSN	0010-437X
卷号	153 期号:12 页码:2482-2533
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).
关键词	ergodic measures random matrices non-Archimedean locally compact fields Vershik-Kerov ergodic method Ismagilov-Olshanski multiplicativity orbital integrals inductively compact groups
DOI	10.1112/S0010437X17007412
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000413336600002
出版者	CAMBRIDGE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26780
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.