Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: H\"older equicontinuity of the integrated density of states at weak
  disorder   H\"older continuity, $|N_\lambda(E)-N_\lambda(E')|\le C |E-E'|^\alpha$, with
a constant $C$ independent of the disorder strength $\lambda$ is proved for the
integrated density of states $N_\lambda(E)$ associated to a discrete random
operator $H = H_o + \lambda V$ consisting of a translation invariant hopping
matrix $H_o$ and i.i.d. single site potentials $V$ with an absolutely
continuous distribution, under a regularity assumption for the hopping term.

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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: funct-an