15 citations · 30 across the 5 of their papers we have counts for
7 papers
Asymptotics of Hankel determinants with a multi-cut regular potential and Fisher-Hartwig singularities
Christophe Charlier, Benjamin Fahs, Christian Webb +1
We obtain large asymptotics for Hankel determinants corresponding to non-negative symbols with Fisher-Hartwig (FH) singularities in the multi-cut regime. Our resul…
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…
Splitting of a gap in the bulk of the spectrum of random matrices
Benjamin Fahs, Igor Krasovsky
We consider the probability of having two intervals (gaps) without eigenvalues in the bulk scaling limit of the Gaussian Unitary Ensemble of random matrices. We describe uniform as…
Random Matrices with Merging Singularities and the Painlevé V Equation
Tom Claeys, Benjamin Fahs
We study the asymptotic behavior of the partition function and the correlation kernel in random matrix ensembles of the form $\frac{1}{Z_n} \big|\det \big( M^2-tI \big)\big|^α e^{-…