# The integrated density of states of the 1D discrete Anderson–Bernoulli model at rational energies

@article{SanchezMendoza2022TheID, title={The integrated density of states of the 1D discrete Anderson–Bernoulli model at rational energies}, author={Daniel S'anchez-Mendoza}, journal={Journal of Mathematical Physics}, year={2022} }

Much is known about the Anderson-Bernoulli model on Z. In 1894, Delyon and Souillard gave an elementary proof of the continuity of the integrated density of states (IDS). Spectral localization on the whole spectrum at any disorder was proven in 1987 by Carmona, Klein and Martinelli using Furstenberg’s theorem and multi-scale analysis. Later that same year Martinelli and Micheli gave a lower bound, uniform over the spectrum, on the asymptotic of the Lyapunov exponent as the disorder parameter…

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