Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spatial and Spectral Multifractality of the Local Density of States at
  the Mobility Edge   We performed numerical calculations of the local density of states (LDOS) at
disorder induced localization-delocalization transitions. The LDOS defines a
spatial measure for fixed energy and a spectral measure for fixed position. At
the mobility edge both measures are multifractal and their generalized
dimensions $D(q)$ and $\tilde{D}(q)$ are found to be proportional:
$D(q)=d\tilde{D}(q)$, where $d$ is the dimension of the system. This
observation is consistent with the identification of the frequency-dependent
length scale $L_\omega \propto \omega^{-1/d}$ as an effective system size. The
calculations are performed for two- and three-dimensional dynamical network
models with local time evolution operators. The energy dependence of the LDOS
is obtained from the time evolution of the local wavefunction amplitude of a
wave packet, providing a numerically efficient way to obtain information about
the multifractal exponents of the system.

23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
9
The categories of this paper are: nlin