RANDOM RIGHT EIGENVALUES OF GAUSSIAN QUATERNIONIC MATRICES

DOI10.1142/S2010326311500092zbMath1245.15035arXiv1104.4455MaRDI QIDQ2884855

François Chapon, Florent Benaych-Georges

Publication date: 18 May 2012

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4455

zbMATH Keywords

quaternionsRandom matricesright eigenvalue of matrix

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)

Related Items (16)

Universal eigenvector correlations in quaternionic Ginibre ensembles ⋮ Wronskian structures of planar symplectic ensembles ⋮ Local circular law for random matrices ⋮ On the almost‐circular symplectic induced Ginibre ensemble ⋮ Strong convergence of ESD for large quaternion sample covariance matrices and correlation matrices when p/n → 0 ⋮ Spherical induced ensembles with symplectic symmetry ⋮ Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble ⋮ Universal scaling limits of the symplectic elliptic Ginibre ensemble ⋮ Partition functions of determinantal and Pfaffian Coulomb gases with radially symmetric potentials ⋮ Around the circular law ⋮ A continuous semigroup of notions of independence between the classical and the free one ⋮ Skew-orthogonal polynomials in the complex plane and their Bergman-like kernels ⋮ Scaling limits of planar symplectic ensembles ⋮ Universality of the number variance in rotational invariant two-dimensional Coulomb gases ⋮ Symmetries of the quaternionic Ginibre ensemble ⋮ On the concentration of random multilinear forms and the universality of random block matrices

Cites Work

• A continuous semigroup of notions of independence between the classical and the free one
• On the distribution of the roots of certain symmetric matrices
• Large deviations for Wigner's law and Voiculescu's non-commutative entropy
• Random matrices: universality of ESDs and the circular law
• On fluctuations of eigenvalues of random Hermitian matrices.
• Matrices of quaternions
• Large deviations from the circular law
• Statistical Ensembles of Complex, Quaternion, and Real Matrices
• Quaternions and matrices of quaternions
• Unnamed Item

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