Eigenvalues of block structured asymmetric random matrices

DOI10.1063/1.4931476zbMath1327.15073arXiv1411.2688OpenAlexW3103407700MaRDI QIDQ3450561

Johnatan Aljadeff, David Renfrew, Merav Stern

Publication date: 6 November 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.2688

zbMATH Keywords

neural networksspectral radiusspectrumasymmetric random matrixmatrix-valued Stieltjes transform

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Neural networks for/in biological studies, artificial life and related topics (92B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)

Related Items (10)

Lower bounds for the smallest singular value of structured random matrices ⋮ From the first rigorous proof of the circular law in 1984 to the circular law for block random matrices under the generalized Lindeberg condition ⋮ The circular law for random regular digraphs with random edge weights ⋮ Singular value distribution of dense random matrices with block Markovian dependence ⋮ Local inhomogeneous circular law ⋮ Non-Hermitian random matrices with a variance profile. I: Deterministic equivalents and limiting esds ⋮ Circular law for random block band matrices with genuinely sublinear bandwidth ⋮ The circular law for random regular digraphs ⋮ Location of the spectrum of Kronecker random matrices ⋮ Linear eigenvalue statistics of random matrices with a variance profile

Cites Work

• Unnamed Item
• Unnamed Item
• Convergence of the largest singular value of a polynomial in independent Wigner matrices
• Local circular law for random matrices
• Around the circular law
• Circular law
• On the structural eigenvalues of block random matrices
• Low rank perturbations of large elliptic random matrices
• On the concentration of random multilinear forms and the universality of random block matrices
• A new application of random matrices: \(\operatorname{Ext} (C_{\text{red}}^*(F_2))\) is not a group
• Products of independent elliptic random matrices
• RANDOM MATRICES: THE CIRCULAR LAW
• On Slow-Fading MIMO Systems With Nonseparable Correlation
• Operator-valued Semicircular Elements: Solving A Quadratic Matrix Equation with Positivity Constraints

This page was built for publication: Eigenvalues of block structured asymmetric random matrices