Furstenberg Theory of Mixed Random-Quasiperiodic Cocycles
Dynamical Systems
2023-06-28 v2 Mathematical Physics
math.MP
Abstract
We derive a criterion for the positivity of the maximal Lyapunov exponent of generic mixed random-quasiperiodic linear cocycles, a model introduced in a previous work. This result is applicable to cocycles corresponding to Schr\"odinger operators with randomly perturbed quasiperiodic potentials. Moreover, we establish an average uniform convergence to the Lyapunov exponent in the Oseledets theorem.
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Cite
@article{arxiv.2201.04745,
title = {Furstenberg Theory of Mixed Random-Quasiperiodic Cocycles},
author = {Ao Cai and Pedro Duarte and Silvius Klein},
journal= {arXiv preprint arXiv:2201.04745},
year = {2023}
}
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46 pages