31 citations · 169 across the 27 of their papers we have counts for
27 papers
Weak and strong confinement in the Freud random matrix ensemble and gap probabilities
Tom Claeys, Igor Krasovsky, Oleksandr Minakov
The Freud ensemble of random matrices is the unitary invariant ensemble corresponding to the weight , , on the real line. We consider the local behaviour of ei…
Airy-kernel determinant on two large intervals
Igor Krasovsky, Theo-Harris Maroudas
We find the probability of two gaps of the form , , for large , in the edge scaling limit of the Gaussian Unitary Ensemble of random matrice…
On the spectrum of critical almost Mathieu operators in the rational case
Svetlana Jitomirskaya, Lyuben Konstantinov, Igor Krasovsky
We derive a new Chambers-type formula and prove sharper upper bounds on the measure of the spectrum of critical almost Mathieu operators with rational frequencies.
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…
Critical almost Mathieu operator: hidden singularity, gap continuity, and the Hausdorff dimension of the spectrum
Svetlana Jitomirskaya, Simon Becker, Igor Krasovsky
We obtain a representation of the critical almost Mathieu family as a Jacobi matrix that has a singularity. This allows us to prove that the Hausdorff dimension of its spectrum is…
The sine process under the influence of a varying potential
Thomas Bothner, Percy Deift, Alexander Its +1
We review the authors' recent work \cite{BDIK1,BDIK2,BDIK3} where we obtain the uniform large asymptotics for the Fredholm determinant $D(s,γ):=\det(I-γK_s\upharpoonright_{L^2(…