Empirical distributions of eigenvalues of product ensembles

DOI10.1007/s10959-017-0799-4zbMath1442.15056arXiv1508.03111OpenAlexW2963758851MaRDI QIDQ1721918

Tiefeng Jiang, Yongcheng Qi

Publication date: 13 February 2019

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

Full work available at URL: https://arxiv.org/abs/1508.03111

zbMATH Keywords

eigenvaluepoint processempirical distributionnon-symmetric random matrix

Mathematics Subject Classification ID

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

Related Items (6)

Limiting empirical distribution for eigenvalues of products of random rectangular matrices ⋮ Empirical distribution of scaled eigenvalues for product of matrices from the spherical ensemble ⋮ Limiting spectral radii of circular unitary matrices under light truncation ⋮ Spectral radii of products of random rectangular matrices ⋮ Limiting empirical spectral distribution for products of rectangular matrices ⋮ Eigenvalues of large chiral non-Hermitian random matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Products of independent non-Hermitian random matrices
• Around the circular law
• Spectral radii of large non-Hermitian random matrices
• The entries of Haar-invariant matrices from the Classical compact groups
• On the spectrum of sum and product of non-Hermitian random matrices
• A note on the second order universality at the edge of Coulomb gases on the plane
• How many entries of a typical orthogonal matrix can be approximated by independent normals?
• The circular law for random matrices
• Approximation of Haar distributed matrices and limiting distributions of eigenvalues of Jacobi ensembles
• Circular law
• Topics in products of random matrices
• Random matrices: universality of ESDs and the circular law
• Products of independent elliptic random matrices
• Large deviation for the empirical eigenvalue density of truncated Haar unitary matrices
• Linear functionals of eigenvalues of random matrices
• Determinantal random point fields
• Circular law and arc law for truncation of random unitary matrix
• Universal microscopic correlation functions for products of independent Ginibre matrices
• Course 1 Random matrices and determinantal processes
• On the Eigenvalues of Random Matrices
• Truncations of random unitary matrices
• Universal microscopic correlation functions for products of truncated unitary matrices
• Products of Random Matrices

This page was built for publication: Empirical distributions of eigenvalues of product ensembles