The characteristic polynomial of a random permutation matrix at different points
From MaRDI portal
Publication:2434487
DOI10.1016/j.spa.2013.08.003zbMath1360.60014arXiv1110.4514OpenAlexW2044200847MaRDI QIDQ2434487
Publication date: 6 February 2014
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.4514
symmetric groupsrandom matricescharacteristic polynomiallimit theoremsrandom permutationsmultiplicative class functions
Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)
Related Items (4)
On a limiting point process related to modified permutation matrices ⋮ On the number of eigenvalues of modified permutation matrices in mesoscopic intervals ⋮ On mean values of multiplicative functions on the symmetric group ⋮ Characteristic polynomials of modified permutation matrices at microscopic scale
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the number of cycles in a random permutation
- Permutation matrices and the moments of their characteristics polynomials
- A limit theorem for additive functions defined on the symmetric group
- Sequences, discrepancies and applications
- The characteristic polynomial of a random unitary matrix: a probabilistic approach
- Asymptotic value distribution of additive functions defined on the symmetric group
- Poisson process approximations for the Ewens sampling formula
- Models for the logarithmic species abundance distributions
- Additive and multiplicative functions on random permutations
- Permutation matrices, wreath products, and the distribution of eigenvalues
- Logarithmic combinatorial structures: A probabilistic approach
- The characteristic polynomial of a random permutation matrix.
- Random permutation matrices under the generalized Ewens measure
- On fluctuations of eigenvalues of random permutation matrices
- Discrepancy of certain Kronecker sequences concerning transcendental numbers
- The sampling theory of selectively neutral alleles
- Cycle structure of random permutations with cycle weights
- Random matrix theory and \(\zeta(1/2+it)\).
- On the characteristic polynomial of a random unitary matrix
This page was built for publication: The characteristic polynomial of a random permutation matrix at different points