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Free convolution and the random sum of matrices - MaRDI portal

Free convolution and the random sum of matrices (Q1318886)

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scientific article; zbMATH DE number 548927
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Free convolution and the random sum of matrices
scientific article; zbMATH DE number 548927

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    Free convolution and the random sum of matrices (English)
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    12 April 1994
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    Summary: We show that the spectral measure of the sum of two selfadjoint matrices is `almost surely' given by the free convolution (in the sense of Voiculescu) of the spectral measures of the two matrices if their size tends to infinity.
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    spectral measure
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    sum of two selfadjoint matrices
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    free convolution
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