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On some spectral properties of large block Laplacian random matrices

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  • Ding, Xue

Abstract

In this paper, we investigate the spectral properties of the large block Laplacian random matrices when the blocks are general rectangular matrices. Under some moment assumptions of the underlying distributions, we study the convergence of the empirical spectral distribution (ESD) of the large block Laplacian random matrices.

Suggested Citation

  • Ding, Xue, 2015. "On some spectral properties of large block Laplacian random matrices," Statistics & Probability Letters, Elsevier, vol. 99(C), pages 61-69.
    • Handle: RePEc:eee:stapro:v:99:y:2015:i:c:p:61-69
    DOI: 10.1016/j.spl.2015.01.005
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    References listed on IDEAS

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    1. Basu, Riddhipratim & Bose, Arup & Ganguly, Shirshendu & Hazra, Rajat Subhra, 2012. "Limiting spectral distribution of block matrices with Toeplitz block structure," Statistics & Probability Letters, Elsevier, vol. 82(7), pages 1430-1438.
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    Cited by:

    1. Sanders, Jaron & Van Werde, Alexander, 2023. "Singular value distribution of dense random matrices with block Markovian dependence," Stochastic Processes and their Applications, Elsevier, vol. 158(C), pages 453-504.

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