S. Jitomirskaya

9 citations · 9 across the 1 of their papers we have counts for

collaborators

3 papers

math-ph2003★ 9 cited

Nonperturbative localization

Svetlana Ya. Jitomirskaya

Study of fine spectral properties of quasiperiodic and similar discrete Schrödinger operators involves dealing with problems caused by small denominators, and until recently was on…

math-ph2001

Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential

J. Bourgain, S. Jitomirskaya

We study regularity properties of the Lyapunov exponent L of quasiperiodic operators with analytic potential, under no assumptions on the Diophantine class of the frequency. We pro…

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…