Resonances and multi-particle localization at low energy.
@article{Ekanga2020ResonancesAM, title={Resonances and multi-particle localization at low energy.}, author={Tr'esor Ekanga}, journal={arXiv: Mathematical Physics}, year={2020} }
We use a new eigenvalue concentration bound for the fluctuation of the sample mean of the random extternal potential in the multi-particle Anderson model and prove the spectral exponential and the strong dynamical localization. The results just need some weaker condition on the distribution function of the sample including a large class of probability distribution such as log-Holder continuous or Lipshitz continuous. The method also apply to i.i.d. random Gaussian potential with independent…
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