Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-particle localization for weakly interacting Anderson
  tight-binding models   We establish the complete spectral exponential, and the strong
Hilbert-Schmidt dynamical localization for the one-dimensional multi-particle
Anderson tight-binding model and for weakly interacting particles system. In
other words, we show stability of the one-dimensional localization from the
single-particle to multi-particle systems with an arbitrary large but finite
number of particles and for sufficient weakly interacting models. The proof
uses the multi-scale analysis estimates for multi-particle systems. The common
probability distribution function of the random external potential in the
Anderson model is assumed to be log-H\"older continuous, so the results apply
to a large class of Anderson models.

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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex