Continuity of the Lyapunov exponent for analytic multi-frequency quasiperiodic cocycles
Dynamical Systems
2022-10-18 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
It is known that the Lyapunov exponent of analytic 1-frequency quasiperiodic cocycles is continuous in cocycle and, when the frequency is irrational, jointly in cocycle and frequency. In this paper, we extend a result of Bourgain to show the same continuity result for multifrequency quasiperiodic cocycles. Our corollaries include applications to multifrequency Jacobi cocycles with periodic background potentials.
Keywords
Cite
@article{arxiv.2210.09285,
title = {Continuity of the Lyapunov exponent for analytic multi-frequency quasiperiodic cocycles},
author = {Matthew Powell},
journal= {arXiv preprint arXiv:2210.09285},
year = {2022}
}