Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schr\"odinger Operators with Dynamically Defined Potentials: A Survey   In this survey we discuss spectral and quantum dynamical properties of
discrete one-dimensional Schr\"odinger operators whose potentials are obtained
by real-valued sampling along the orbits of an ergodic invertible
transformation. After an introductory part explaining basic spectral concepts
and fundamental results, we present the general theory of such operators, and
then provide an overview of known results for specific classes of potentials.
Here we focus primarily on the cases of random and almost periodic potentials.

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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph