On complete localization for the one-dimensional multi-particle Anderson-Bernoulli model with infinite range interaction
Mathematical Physics
2017-06-28 v2 math.MP
Probability
Spectral Theory
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.
Cite
@article{arxiv.1705.00906,
title = {On complete localization for the one-dimensional multi-particle Anderson-Bernoulli model with infinite range interaction},
author = {Trésor Ekanga},
journal= {arXiv preprint arXiv:1705.00906},
year = {2017}
}