Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The renormalization flow of the hierarchical Anderson model at weak
  disorder   We study the flow of the renormalized model parameters obtained from a
sequence of simple transformations of the 1D Anderson model with long-range
hierarchical hopping. Combining numerical results with a perturbative approach
for the flow equations, we identify three qualitatively different regimes at
weak disorder. For a sufficiently fast decay of the hopping energy, the Cauchy
distribution is the only stable fixed-point of the flow equations, whereas for
sufficiently slowly decaying hopping energy the renormalized parameters flow to
a delta peak fixed-point distribution. In an intermediate range of the hopping
decay, both fixed-point distributions are stable and the stationary solution is
determined by the initial configuration of the random parameters. We present
results for the critical decay of the hopping energy separating the different
regimes.

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The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
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The categories of this paper are: stat
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
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The categories of this paper are: cs
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex