Balanced random and Toeplitz matrices

DOI10.1214/ECP.v15-1537zbMath1225.60014OpenAlexW2033619600MaRDI QIDQ638187

Arup Bose, Anirban Basak

Publication date: 9 September 2011

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/EJP-ECP/_ejpecp/ECP/viewarticle36b0.html

zbMATH Keywords

eigenvaluesconvergence in distributionuniform integrabilityrandom matrixalmost sure convergencemoment methodbounded Lipschitz metricbalanced matrixCarleman condition

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Random measures (60G57) Convergence of probability measures (60B10)

Related Items (7)

Limiting spectral measures for random matrix ensembles with a polynomial link function ⋮ Limiting spectral distribution of a class of Hankel type random matrices ⋮ The limiting spectral measure for ensembles of symmetric block circulant matrices ⋮ Distribution of eigenvalues of highly palindromic Toeplitz matrices ⋮ Spectral statistics of non-Hermitian random matrix ensembles ⋮ Random matrix ensembles with split limiting behavior ⋮ Spectral distributions of periodic random matrix ensembles

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