Eigenvalue distribution of large dilute random matrices

DOI10.1063/1.532046zbMath0884.15017OpenAlexW2106748346MaRDI QIDQ4345174

G. J. Rodgers, Alexei Khorunzhy

Publication date: 17 July 1997

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

Full work available at URL: https://bura.brunel.ac.uk/handle/2438/762

zbMATH Keywords

spectral functionLindeberg conditioneigenvalue distributionsdiluted random Gram matricesMarchenko and Pastur distribution lawWigner semicircle distribution law

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Functional limit theorems; invariance principles (60F17)

Related Items (6)

EMPIRICAL DISTRIBUTIONS OF LAPLACIAN MATRICES OF LARGE DILUTE RANDOM GRAPHS ⋮ On some spectral properties of large self-dual dilute quaternion random matrices ⋮ Localization of eigenvectors in random graphs ⋮ Gaussian fluctuation for linear eigenvalue statistics of large dilute Wigner matrices ⋮ Lifshitz tails for spectra of Erdős-Rényi random graphs ⋮ On the Wigner law in dilute random matrices

Cites Work

• Characteristic vectors of bordered matrices with infinite dimensions
• Rigorous bounds on the storage capacity of the dilute Hopfield model
• Rigorous results on the thermodynamics of the dilute Hopfield model
• Density of states of sparse random matrices
• Universality of level correlation function of sparse random matrices
• Neural networks and physical systems with emergent collective computational abilities.
• DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES

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