Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Microscopic versus mesoscopic local density of states in one-dimensional
  localization   We calculate the probability distribution of the local density of states
$\nu$ in a disordered one-dimensional conductor or single-mode waveguide,
attached at one end to an electron or photon reservoir. We show that this
distribution does not display a log-normal tail for small $\nu$, but diverges
instead $\propto\nu^{-1/2}$. The log-normal tail appears if $\nu$ is averaged
over rapid oscillations on the scale of the wavelength. There is no such
qualitative distinction between microscopic and mesoscopic densities of states
if the levels are broadened by inelastic scattering or absorption, rather than
by coupling to a reservoir.

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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph