Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the relation between strong ballistic transport and exponential
  dynamical localization   We establish strong ballistic transport for a family of discrete
quasiperiodic Schr\"odinger operators as a consequence of exponential dynamical
localization for the dual family. The latter has been, essentially, shown by
Jitomirskaya and Kr\"uger in the one-frequency setting and by Ge--You--Zhou in
the multi-frequency case. In both regimes, we obtain strong convergence of
$\frac{1}{T}X(T)$ to the asymptotic velocity operator $Q$, which improves
recent perturbative results by Zhao and provides the strongest known form of
ballistic motion. In the one-frequency setting, this approach allows to treat
Diophantine frequencies non-perturbatively and also consider the weakly
Liouville case.

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The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int