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

2017/05/02 by Trésor Ekanga, Ekanga, Trésor
Mathematics · #Spectral Theory in Mathematical Physics #Numerical methods in inverse problems #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.1705.00906

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.

Citations

• Anderson localization for Bernoulli and other singular potentials

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