Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: H\"older continuity of the integrated density of states for Extended
  Harper's Model with Liouville frequency   In this paper, we study the non-self-dual extended Harper's model with a
Liouville frequency. Based on the work of \cite{SY}, we show that the
integrated density of states (IDS for short) of the model is
$\frac{1}{2}$-H$\ddot{\text{o}}$lder continuous. As an application, we also
obtain the Carleson homogeneity of the spectrum.

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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci