On Optimal Separation of Eigenvalues for a Quasiperiodic Jacobi Matrix
Spectral Theory
2015-06-11 v2 Mathematical Physics
math.MP
Abstract
We consider quasiperiodic Jacobi matrices of size N with analytic coefficients. We show that, in the positive Lyapunov exponent regime, after removing some small sets of energies and frequencies, any eigenvalue is separated from the rest of the spectrum by , with p>15.
Cite
@article{arxiv.1210.3084,
title = {On Optimal Separation of Eigenvalues for a Quasiperiodic Jacobi Matrix},
author = {Ilia Binder and Mircea Voda},
journal= {arXiv preprint arXiv:1210.3084},
year = {2015}
}
Comments
45 pages