Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L^p$-approximation of the integrated density of states for
  Schr\"odinger operators with finite local complexity   We study spectral properties of Schr\"odinger operators on $\RR^d$. The
electromagnetic potential is assumed to be determined locally by a colouring of
the lattice points in $\ZZ^d$, with the property that frequencies of finite
patterns are well defined. We prove that the integrated density of states
(spectral distribution function) is approximated by its finite volume
analogues, i.e.the normalised eigenvalue counting functions. The convergence
holds in the space $L^p(I)$ where $I$ is any finite energy interval and $1\leq
p< \infty$ is arbitrary.

8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom