Finiteness of ergodic unitarily invariant measures on spaces of infinite matrices

DOI10.5802/AIF.2867zbMath1322.37002arXiv1108.2737OpenAlexW2963099918MaRDI QIDQ486779

Alexander I. Bufetov

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.2737

zbMATH Keywords

weak compactnessinfinite-dimensional Lie groupsclassification of ergodic measuresorbital measures

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (3)

Unnamed Item ⋮ Infinite random matrices \& ergodic decomposition of finite and infinite Hua-Pickrell measures ⋮ The boundary of the orbital beta process

Cites Work

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• A Bochner type theorem for inductive limits of Gelfand pairs
• Measures on infinite dimensional Grassmann manifolds
• Mackey analysis of infinite classical motion groups
• The problem of harmonic analysis on the infinite-dimensional unitary group.
• Asymptotic Harmonic Analysis on the Space of Square Complex Matrices
• Infinite random matrices and ergodic measures

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