Ergodic measures on infinite skew-symmetric matrices over non-Archimedean local fields

DOI10.4171/GGD/527zbMath1431.37077arXiv1606.00293MaRDI QIDQ2286356

Yanqi Qiu

Publication date: 22 January 2020

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.00293

zbMATH Keywords

skew-symmetric matricesergodic measuresorbital integralsnon-Archimedean fieldsIsmagilov-Olshanski multiplicativityVershik-Kerov method

Mathematics Subject Classification ID

Dynamical systems over non-Archimedean local ground fields (37P20) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)

Cites Work

• Truncation of Haar random matrices in \(\mathrm{GL}_N(\mathbb{Z}_m)\)
• Asymptotic theory of characters of the symmetric group
• Ergodic decomposition for measures quasi-invariant under a Borel action of an inductively compact group
• The Characters of the Infinite Symmetric Group and Probability Properties of the Robinson–Schensted–Knuth Algorithm
• Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields
• On a result of Bożejko on extension of positive definite kernels
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