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arXiv · 1701.05050

Wegner bounds for one-dimensional multi-particle Bernoulli-Anderson models in the continuum

Trésor Ekanga
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Abstract

We prove the Wegner bounds for the one-dimensional interacting multi-particle Anderson models in the continuum. The results apply to singular probability distribution functions such as the Bernoulli's measures. The proofs need the amplitude of the inter-particle interaction potential to be sufficiently weak. As a consequence, the results imply the Anderson localization via the multi-scale analysis.

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Trésor Ekanga. 2017-06-18. Wegner bounds for one-dimensional multi-particle Bernoulli-Anderson models in the continuum. https://arxiv.org/abs/1701.05050

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