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The Characteristic Polynomial of a Random Permutation Matrix
Hambly, B.M.; Keevash, P.; O'Connell, Neil,; Stark, Dudley
HPLBRIMS200001
Keyword(s): random matrix theory; characteristic polynomial permutations; central limit theorem
Abstract: We establish a central limit theorem for the logarithm of the characteristic polynomial of a random permutation matrix. With this result we can obtain a central limit theorem for the counting function for the eigenvalues lying in some interval on the unit circle. Notes: Peter Keevash, Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge, CB2 1SB, UK
16 Pages
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