The characteristic polynomial of a random permutation matrix.

DOI10.1016/S0304-4149(00)00046-6zbMath1047.60013WikidataQ128090027 ScholiaQ128090027MaRDI QIDQ1879500

Neil O'Connell, Dudley Stark, Benjamin M. Hambly, Peter Keevash

Publication date: 22 September 2004

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

discrepancyuniformly distributed sequencesFeller coupling

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Random matrices (algebraic aspects) (15B52)

Related Items (18)

Eigenvalue distributions of random permutation matrices. ⋮ The Dirichlet Markov ensemble ⋮ Central limit theorem for multiplicative class functions on the symmetric group ⋮ The distribution of eigenvalues of randomized permutation matrices ⋮ The characteristic polynomial of a random permutation matrix at different points ⋮ Random permutation matrices under the generalized Ewens measure ⋮ On averages of randomized class functions on the symmetric groups and their asymptotics ⋮ Linear functionals of eigenvalues of random matrices ⋮ On the number of eigenvalues of modified permutation matrices in mesoscopic intervals ⋮ The Poisson distribution for linear statistics of random permutations ⋮ Characteristic polynomials of modified permutation matrices at microscopic scale ⋮ Moments of additive functions on random permutations ⋮ Ewens Measures on Compact Groups and Hypergeometric Kernels ⋮ Sharp bounds for the variance of linear statistics on random permutations ⋮ Asymptotic value distribution of additive functions defined on the symmetric group ⋮ Aspects of large random Markov kernels ⋮ Permutation invariant lattices ⋮ On fluctuations of eigenvalues of random permutation matrices

Cites Work

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• Poisson process approximations for the Ewens sampling formula
• Eigenvalue distributions of random permutation matrices.
• Random matrix theory and the Riemann zeros II:n-point correlations
• On the Distribution of Spacings Between Zeros of the Zeta Function
• Random matrix theory and \(\zeta(1/2+it)\).

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