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arXiv · 1705.00906

On complete localization for the one-dimensional multi-particle Anderson-Bernoulli model with infinite range interaction

Trésor Ekanga
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Abstract

We consider the multi-particle Anderson model on the lattice with infinite range but sub-exponentially decaying interaction and show the Anderson localization consisting of the spectral exponential and the strong dynamical localization. In particular, the dynamical localization is proved int he Hilbert-Schmidt norm. The results concern very singular probability distributions such as the Bernoulli's measures.

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Trésor Ekanga. 2017-05-02. On complete localization for the one-dimensional multi-particle Anderson-Bernoulli model with infinite range interaction. https://arxiv.org/abs/1705.00906

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