Igor Krasovsky

collaborators

2 papers

math.SP2001

Continuity of the measure of the spectrum for discrete quasiperiodic operators

S. Ya. Jitomirskaya, I. V. Krasovsky

We study discrete Schroedinger operators $(H_{α, θ} ψ) (n) = ψ (n - 1) + ψ (n + 1) + f (α n + θ) ψ (n)$ on $l^{2} (Z)$ , where $f (x)$ is a real analytic periodic function of period 1. We prove a general t…

math-ph1998

Asymptotic distribution of zeros of polynomials satisfying difference equations

I. V. Krasovsky

We propose a way to find the asymptotic distribution of zeros of orthogonal polynomials p_n(x) satisfying a difference equation of the form B(x)p_n(x+δ)-C(x,n)p_n(x)+D(x)p_n(x-δ)=0…