Conditional Haar measures on classical compact groups

DOI10.1214/08-AOP443zbMath1172.43005arXiv0803.3753MaRDI QIDQ838009

Paul Bourgade

Publication date: 21 August 2009

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.3753

zbMATH Keywords

random matricescharacteristic polynomialcentral limit theoremzeta and L-functionsthe Weyl integration formula

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Random matrices (algebraic aspects) (15B52) Harmonic analysis on general compact groups (43A77)

Related Items (6)

Universality at an endpoint for orthogonal polynomials with Geronimus-type weights ⋮ Hurwitz and the origins of random matrix theory in mathematics ⋮ Two universality results for polynomial reproducing kernels ⋮ Ewens Measures on Compact Groups and Hypergeometric Kernels ⋮ Applications of a new formula for OPUC with periodic Verblunsky coefficients ⋮ Quantum Chaos, Random Matrix Theory, and the Riemann ζ-function

Cites Work

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• The characteristic polynomial of a random unitary matrix: a probabilistic approach
• Ewens Measures on Compact Groups and Hypergeometric Kernels
• Investigations of Zeros near the Central Point of Elliptic CurveL-Functions
• The derivative of SO(2N +1) characteristic polynomials and rank 3 elliptic curves
• Circular Jacobi Ensembles and Deformed Verblunsky Coefficients
• Derivatives of random matrix characteristic polynomials with applications to elliptic curves
• Random matrix theory and \(\zeta(1/2+it)\).
• Infinite random matrices and ergodic measures

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