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The spectral laws of Hermitian block-matrices with large random blocks
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Tamer F Oraby, University of Cincinnati
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Abstract
We are going to study the limiting spectral
measure of fixed dimensional Hermitian block-matrices with large
dimensional Wigner blocks. We are going also to identify the
limiting spectral measure when the Hermitian block-structure is
Circulant. Using the limiting spectral measure of a Hermitian
Circulant block-matrix we will show that the spectral measure of a
Wigner matrix with k-weakly dependent entries need not to be the
semicircle law in the limit.
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Full text: PDF
Pages: 465-476
Published on: December 23, 2007
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Electronic Communications in Probability. ISSN: 1083-589X |
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