Linear eigenvalue statistics of random matrices with a variance profile

DOI10.1142/S2010326322500046zbMath1479.60010arXiv1901.09404OpenAlexW3033001327MaRDI QIDQ5019011

Kartick Adhikari, Koushik Saha, Indrajit Jana

Publication date: 27 December 2021

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

Full work available at URL: https://arxiv.org/abs/1901.09404

zbMATH Keywords

sparse matrixcentral limit theoremrandom matrixlinear eigenvalue statisticsErdős-Rényi random graphvariance profileband matrixpatterned random matrix

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Random graphs (graph-theoretic aspects) (05C80) Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52)

Related Items (5)

CLT for non-Hermitian random band matrices with variance profiles ⋮ Global eigenvalue fluctuations of random biregular bipartite graphs ⋮ Central limit theorem for linear spectral statistics of block-Wigner-type matrices ⋮ Single eigenvalue fluctuations of general Wigner-type matrices ⋮ Singular value distribution of dense random matrices with block Markovian dependence

Cites Work

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• Sharp nonasymptotic bounds on the norm of random matrices with independent entries
• Central limit theorem for linear eigenvalue statistics of elliptic random matrices
• Fluctuations of eigenvalues for random Toeplitz and related matrices
• Gaussian fluctuations for linear eigenvalue statistics of products of independent iid random matrices
• A CLT for a band matrix model
• Gaussian fluctuations for non-Hermitian random matrix ensembles
• On fluctuations of eigenvalues of random band matrices
• Fluctuations of eigenvalues and second order Poincaré inequalities
• Central limit theorem for linear eigenvalue statistics of random matrices with independent entries
• Some limit theorems for the eigenvalues of a sample covariance matrix
• The eigenvalues of random symmetric matrices
• A refinement of Wigner's semicircle law in a neighborhood of the spectrum edge for random symmetric matrices
• Large deviations upper bounds and central limit theorems for non-commutative functionals of Gaussian large random matrices
• Universality in the fluctuation of eigenvalues of random circulant matrices
• CLT for linear spectral statistics of large-dimensional sample covariance matrices.
• On fluctuations of eigenvalues of random Hermitian matrices.
• Non-Hermitian random matrices with a variance profile. I: Deterministic equivalents and limiting esds
• Regularity conditions in the CLT for linear eigenvalue statistics of Wigner matrices
• Deterministic equivalents for certain functionals of large random matrices
• Fluctuations of Linear Eigenvalue Statistics of Random Band Matrices
• Universal Gaussian fluctuations of non-Hermitian matrix ensembles: from weak convergence to almost sure CLTs
• CENTRAL LIMIT THEOREM FOR LINEAR STATISTICS OF EIGENVALUES OF BAND RANDOM MATRICES
• Central Limit Theorem for linear eigenvalue statistics of the Wigner and sample covariance random matrices
• Eigenvalues of block structured asymmetric random matrices
• On Poincaré and Logarithmic Sobolev Inequalities for a Class of Singular Gibbs Measures
• Fluctuations of eigenvalues of patterned random matrices

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