Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Power spectrum for critical statistics: A novel spectral
  characterization of the Anderson transition   We examine the power spectrum of the energy level fluctuations of a family of
critical power-law random banded matrices with properties similar to those of a
disordered conductor at the Anderson transition. It is shown both analytically
and numerically that the Anderson transition is characterized by a power
spectrum which presents $1/f^2$ noise for small frequencies but $1/f$ noise for
larger frequencies. The analysis of the transition region between these two
power-law limits gives an accurate estimation of the Thouless energy of the
system. Finally we discuss under what circumstances these findings may be
relevant in the context of non-random Hamiltonians.

12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys