12 citations · 30 across the 7 of their papers we have counts for
5 papers
Gap probability in the spectrum of random matrices and asymptotics of polynomials orthogonal on an arc of the unit circle
I. V. Krasovsky
We obtain uniform asymptotics for polynomials orthogonal on a fixed and varying arc of the unit circle with a positive analytic weight function. We also complete the proof of the l…
Asymptotics for Toeplitz determinants on a circular arc
I. V. Krasovsky
An asymptotic formula is found for a Toeplitz determinant with the symbol supported on an arc of the unit circle in the case when the symbol has Fisher-Hartwig singularities.
Some computable Wiener-Hopf determinants and polynomials orthogonal on an arc of the unit circle
I. V. Krasovsky
Some Wiener--Hopf determinants on [0,s] are calculated explicitly for all s>0. Their symbols are zero on an interval and they are related to the determinant with the sine-kernel ap…
Eigenvalue density for a class of Jacobi matrices
I. V. Krasovsky
We obtain the asymptotic distribution of eigenvalues of real symmetric tridiagonal matrices as their dimension increases to infinity and whose diagonal and off-diagonal elements as…
On the discriminant of Harper's equation
I. V. Krasovsky
The spectrum of Harper's equation is determined by the discriminant, which is a certain polynomial of degree Q if the commensurability parameter of Harper's equation is P/Q, where…