Characteristic polynomials of modified permutation matrices at microscopic scale

Author:

Bahier ValentinORCID

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Reference22 articles.

1. The characteristic polynomial of a random unitary matrix: a probabilistic approach;Bourgade;Duke Math. J.,2008

2. A unitary extension of virtual permutations;Bourgade;Int. Math. Res. Not.,2012

3. Reda Chhaibi, Emma Hovhannisyan, Joseph Najnudel, Ashkan Nikeghbali, Brad Rodgers, A limiting characteristic polynomial of some random matrix ensembles. arXiv preprint arXiv:1707.09956, 2017.

4. The circular unitary ensemble and the Riemann zeta function: the microscopic landscape and a new approach to ratios;Chhaibi;Invent. Math.,2017

5. The characteristic polynomial of a random permutation matrix at different points;Dang;Stochastic Process. Appl.,2014

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Characteristic Polynomial of Sums of Random Permutations and Regular Digraphs;International Mathematics Research Notices;2023-08-15

2. On Smooth Mesoscopic Linear Statistics of the Eigenvalues of Random Permutation Matrices;Journal of Theoretical Probability;2021-08-11

3. Maximum of the Characteristic Polynomial for a Random Permutation Matrix;Communications on Pure and Applied Mathematics;2020-05-18

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