Mixed Random-Quasiperiodic Cocycles
Dynamical Systems
2021-09-21 v1 Mathematical Physics
math.MP
Abstract
We introduce the concept of mixed random-quasiperiodic linear cocycles. We characterize the ergodicity of the base dynamics and establish a large deviations type estimate for certain types of observables. For the fiber dynamics we prove the uniform upper semicontinuity of the maximal Lyapunov exponent. This paper is meant to introduce a model to be studied in depth in further projects.
Keywords
Cite
@article{arxiv.2109.09544,
title = {Mixed Random-Quasiperiodic Cocycles},
author = {Ao Cai and Pedro Duarte and Silvius Klein},
journal= {arXiv preprint arXiv:2109.09544},
year = {2021}
}
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29 pages