# Large Deviations for Products of Random Two Dimensional Matrices

@article{Duarte2019LargeDF,
title={Large Deviations for Products of Random Two Dimensional Matrices},
author={Pedro Duarte and Silvius Klein},
journal={Communications in Mathematical Physics},
year={2019},
volume={375},
pages={2191-2257}
}
• Published 18 October 2018
• Mathematics
• Communications in Mathematical Physics
We establish large deviation type estimates for i.i.d. products of two dimensional random matrices with finitely supported probability distribution. The estimates are stable under perturbations and require no irreducibility assumptions. In consequence, we obtain a uniform local modulus of continuity for the corresponding Lyapunov exponent regarded as a function of the support of the distribution. This in turn has consequences on the modulus of continuity of the integrated density of states and…

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