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On complete localization for the one-dimensional multi-particle Anderson-Bernoulli model with infinite range interaction (1705.00906v2)
Published 2 May 2017 in math-ph, math.MP, math.PR, and math.SP
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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