Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponential Dynamical Localization: Criterion and Applications   We give a criterion for exponential dynamical localization in expectation
(EDL) for ergodic families of operators acting on $\ell^2(\Z^d)$. As
applications, we prove EDL for a class of quasi-periodic long-range operators
on $\ell^2(\Z^d)$.

34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
18
The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn