On the eigenvalues of truncations of random unitary matrices

DOI10.1214/19-ECP258zbMath1422.60017arXiv1811.08340MaRDI QIDQ2274120

Elizabeth S. Meckes, Kathryn Stewart

Publication date: 19 September 2019

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

Full work available at URL: https://arxiv.org/abs/1811.08340

zbMATH Keywords

random matricesHaar measureCoulomb gasconcentration inequalitiestruncationsempirical spectral measuresubmatrices

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52)

Related Items (3)

On the partial transpose of a Haar unitary matrix ⋮ Characteristic polynomials of random truncations: Moments, duality and asymptotics ⋮ Eigenvalue rigidity for truncations of random unitary matrices

Cites Work

• Unnamed Item
• Spectral measures of powers of random matrices
• Approximation of Haar distributed matrices and limiting distributions of eigenvalues of Jacobi ensembles
• Concentration for Coulomb gases and Coulomb transport inequalities
• Large deviation for the empirical eigenvalue density of truncated Haar unitary matrices
• On the Eigenvalues of Random Matrices
• Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance
• Truncations of random unitary matrices

This page was built for publication: On the eigenvalues of truncations of random unitary matrices