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

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