Circular law and arc law for truncation of random unitary matrix
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Publication:2853635
DOI10.1063/1.3672885zbMath1273.15040OpenAlexW2078049719MaRDI QIDQ2853635
Tiefeng Jiang, Danning Li, Zhi Shan Dong
Publication date: 16 October 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3672885
Quantum chaos (81Q50) Eigenvalues, singular values, and eigenvectors (15A18) Statistical mechanics of semiconductors (82D37) Random matrices (algebraic aspects) (15B52)
Related Items (12)
Limit theorems for beta-Jacobi ensembles ⋮ Limiting spectral radii of circular unitary matrices under light truncation ⋮ Spectral radii of truncated circular unitary matrices ⋮ On the partial transpose of a Haar unitary matrix ⋮ Approximation of rectangular beta-Laguerre ensembles and large deviations ⋮ Empirical distributions of eigenvalues of product ensembles ⋮ Spectral radii of large non-Hermitian random matrices ⋮ Moments of traces of circular beta-ensembles ⋮ Circular law for random matrices with exchangeable entries ⋮ Plot of CLT ⋮ Local spectrum of truncations of Kronecker products of Haar distributed unitary matrices ⋮ Eigenvalue rigidity for truncations of random unitary matrices
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