Continuity of the Lyapunov Exponent for analytic quasi-perodic cocycles with singularities
Dynamical Systems
2011-09-16 v1 Mathematical Physics
math.MP
Abstract
We prove that the Lyapunov exponent of quasi-periodic cocyles with singularities behaves continuously over the analytic category. We thereby generalize earlier results, where singularities were either excluded completely or constrained by additional hypotheses. Applications are one-parameter families of analytic Jacobi operators, such as extended Harper's model describing crystals subject to external magnetic fields.
Keywords
Cite
@article{arxiv.1106.6097,
title = {Continuity of the Lyapunov Exponent for analytic quasi-perodic cocycles with singularities},
author = {S. Jitomirskaya and C. A. Marx},
journal= {arXiv preprint arXiv:1106.6097},
year = {2011}
}
Comments
to appear in the Journal of Fixed Point Theory and Applications (JFPTA), 2011