Ergodic Jacobi matrices and conformal maps
Spectral Theory
2015-05-30 v1 Mathematical Physics
math.MP
Abstract
We study structural properties of the Lyapunov exponent and the density of states for ergodic (or just invariant) Jacobi matrices in a general framework. In this analysis, a central role is played by the function as a conformal map between certain domains. This idea goes back to Marchenko and Ostrovskii, who used this device in their analysis of the periodic problem.
Cite
@article{arxiv.1108.5370,
title = {Ergodic Jacobi matrices and conformal maps},
author = {Injo Hur and Christian Remling},
journal= {arXiv preprint arXiv:1108.5370},
year = {2015}
}