Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A lower bound for the Lyapounov exponents of the random Schrodinger
  operator on a strip   We consider the random Schrodinger operator on a strip of width $W$, assuming
the site distribution of bounded density. It is shown that the positive
Lyapounov exponents satisfy a lower bound roughly exponential in $-W$ or $W\to
\infty$. The argument proceeds directly by establishing Green's function decay,
but does not appeal to Furstenberg's random matrix theory on the strip. One
ingredient involved is the construction of `barriers' using the RSO theory on
$\mathbb Z$.

31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th