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arXiv · 2002.11580

Anderson-Bernoulli localization at large disorder on the 2D lattice

Linjun Li
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Abstract

We consider the Anderson model at large disorder on $\mathbb{Z}^2$ where the potential has a symmetric Bernoulli distribution. We prove that Anderson localization happens outside a small neighborhood of finitely many energies. These finitely many energies are Dirichlet eigenvalues of the minus Laplacian restricted on some finite subsets of $\mathbb{Z}^{2}$.

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Linjun Li. 2020-02-26. Anderson-Bernoulli localization at large disorder on the 2D lattice. https://arxiv.org/abs/2002.11580

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