4 papers
Sine-kernel determinant on two large intervals
Benjamin Fahs, Igor Krasovsky
We consider the probability of two large gaps (intervals without eigenvalues) in the bulk scaling limit of the Gaussian Unitary Ensemble of random matrices. We determine the multip…
Global fluctuations for Multiple Orthogonal Polynomial Ensembles
Maurice Duits, Benjamin Fahs, Rostyslav Kozhan
We study the fluctuations of linear statistics with polynomial test functions for Multiple Orthogonal Polynomial Ensembles. Multiple Orthogonal Polynomial Ensembles form an importa…
Uniform asymptotics of Toeplitz determinants with Fisher-Hartwig singularities
Benjamin Fahs
We obtain an asymptotic formula for Toeplitz determinants as , for real valued symbols with any fixed number of Fisher-Hartwig singularities, which is unif…
How much can the eigenvalues of a random Hermitian matrix fluctuate?
Tom Claeys, Benjamin Fahs, Gaultier Lambert +1
The goal of this article is to study how much the eigenvalues of large Hermitian random matrices deviate from certain deterministic locations -- or in other words, to investigate o…