# Anderson localisation for quasi-one-dimensional random operators

@inproceedings{Macera2021AndersonLF, title={Anderson localisation for quasi-one-dimensional random operators}, author={Davide Macera and Sasha Sodin}, year={2021} }

In 1990, Klein, Lacroix, and Speis proved (spectral) Anderson localisation for the Anderson model on the strip of widthW ⩾ 1, allowing for singular distribution of the potential. Their proof employs multi-scale analysis, in addition to arguments from the theory of random matrix products (the case of regular distributions was handled earlier in the works of Goldsheid and Lacroix by other means). We give a proof of their result avoiding multi-scale analysis, and also extend it to the general…

## 2 Citations

Nonlinear Anderson localized states at arbitrary disorder

- Physics, Mathematics
- 2022

It is classical, following Furstenberg’s theorem on positive Lyapunov exponent for products of random SL(2,R) matrices, that the one dimensional random Schrödinger operator has Anderson localization…

Localization for random CMV matrices

- Physics, Mathematics
- 2021

We prove Anderson localization (AL) and dynamical localization in expectation (EDL, also known as strong dynamical localization) for random CMV matrices for arbitrary distribution of i.i.d.…

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