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math-ph2020
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…
math-ph2019
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…