O(∞)- and Sp(∞)-Invariant Ergodic Measures on the Spaces of Infinite Antisymmetric and Quaternionic Antihermitian Matrices

被引：0

作者：

Nikitin P.P. ^{[1
]}

机构：

[1] Aix-Marseille University, Marseille

来源：

Journal of Mathematical Sciences | 2016年 / 216卷 / 1期

关键词：

Young Diagram; Ergodic Theorem; Orthogonal Group; Orbit Measure; Inductive Limit;

D O I：

10.1007/s10958-016-2892-0

中图分类号：

学科分类号：

摘要：

The ergodic measures for the actions of the infinite orthogonal group O(∞) and the infinite symplectic group Sp(∞) by conjugations on the spaces of infinite real antisymmetric and infinite quaternionic antihermitian matrices are classified, with the use of the Vershik–Olshanski “ergodic method.” © 2016, Springer Science+Business Media New York.

引用

页码：136 / 145

页数：9

共 21 条

[1] FINITENESS OF ERGODIC UNITARILY INVARIANT MEASURES ON SPACES OF INFINITE MATRICES
Bufetov, Alexander I.
ANNALES DE L INSTITUT FOURIER, 2014, 64 (03) : 893 - 907
[2] Infinite Random Matrices and Ergodic Measures
Alexei Borodin
Grigori Olshanski
Communications in Mathematical Physics, 2001, 223 : 87 - 123
[3] Infinite random matrices and ergodic measures
Borodin, A
Olshanski, G
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 223 (01) : 87 - 123
[4] The recurrence time for ergodic systems with infinite invariant measures
Galatolo, Stefano
Kim, Dong Han
Park, Kyewon Koh
NONLINEARITY, 2006, 19 (11) : 2567 - 2580
[5] Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields
Bufetov, Alexander I.
Qiu, Yanqi
COMPOSITIO MATHEMATICA, 2017, 153 (12) : 2482 - 2533
[6] Statistical Ergodic Theorem in Symmetric Spaces for Infinite Measures
Veksler A.S.
Chilin V.I.
Journal of Mathematical Sciences, 2024, 278 (3) : 426 - 438
[7] ON ERGODIC THEOREM AND INFINITE INVARIANT MEASURES FOR OPERATORS . PRELIMINARY REPORT
ORNSTEIN, DS
SUCHESTO.L
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (02): : 437 - &
[8] Infinite random matrices & ergodic decomposition of finite and infinite Hua-Pickrell measures
Qiu, Yanqi
ADVANCES IN MATHEMATICS, 2017, 308 : 1209 - 1268
[9] Invariant and quasi-invariant measures on infinite-dimensional spaces
V. V. Kozlov
O. G. Smolyanov
Doklady Mathematics, 2015, 92 : 743 - 746
[10] Invariant and quasi-invariant measures on infinite-dimensional spaces
Kozlov, V. V.
Smolyanov, O. G.
DOKLADY MATHEMATICS, 2015, 92 (03) : 743 - 746

← 1 2 3 →