Asymptotics of powers of random elements of compact Lie groups

DOI10.1214/24-ejp1096arXiv2204.11796MaRDI QIDQ6126947

Donnelly Phillips

Publication date: 10 April 2024

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.11796

zbMATH Keywords

random matrixlimiting distributioncompact Lie grouphigh powers

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Lie groups (22E99) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

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• High powers of random elements of compact Lie groups
• Images of eigenvalue distributions under power maps
• Integration formulas for Brownian motion on classical compact Lie groups
• Schur-Weyl duality and the heat kernel measure on the unitary group
• Introduction to Smooth Manifolds
• On the Eigenvalues of Random Matrices
• Probability
• Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture
• Probability on Compact Lie Groups
• Lie Groups, Lie Algebras, and Representations
• The Random Matrix Theory of the Classical Compact Groups

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