Random matrices, magic squares and matching polynomials (Q1883696)
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scientific article; zbMATH DE number 2107515
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Random matrices, magic squares and matching polynomials |
scientific article; zbMATH DE number 2107515 |
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Random matrices, magic squares and matching polynomials (English)
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13 October 2004
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This paper computes higher moments of coefficients of characteristic polynomials of random unitary matrices and relates this to the problem of counting magic squares (integer stochastic matrices). Random orthogonal and symplectic matrices, and GUE matrices are dealt with similarly; the last ties in to matching polynomials.
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characteristic polynomial of random matrix
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moments of secular coefficients
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counting magic squares
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secular coefficients of GUE matrices
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