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The characteristic polynomial of a random permutation matrix |
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| Authors: | B. M. Hambly P. Keevash N. O'Connell D. Stark |
| Affiliation: | a BRIMS, Hewlett-Packard Labs, Filton Road, Stoke Gifford, Bristol, BS34 8QZ, UK;b Department of Mathematics, University of Bristol, University Walk, Bristol, BS8 1TW, UK;c Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge, CB2 1SB, UK |
| Abstract: | We establish a central limit theorem for the logarithm of the characteristic polynomial of a random permutation matrix. We relate this result to a central limit theorem of Wieand for the counting function for the eigenvalues lying in some interval on the unit circle. |
| Keywords: | Feller coupling Uniformly distributed sequences Discrepancy |
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