Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chebyshev-polynomial expansion of the localization length of Hermitian
  and non-Hermitian random chains   We carry Chebyshev-polynomial expansion of the inverse localization length of
Hermitian and non-Hermitian random chains as function of energy. For Hermitian
models, the expansion produces numerically this energy-dependent function in
one run of the algorithm. This is in strong contrast to the standard
transfer-matrix method, which produces the inverse localization length for a
fixed energy in each run. For non-Hermitian models, as in the transfer-matrix
method, our algorithm computes the inverse localization length for a fixed
(complex) energy. We also find a formula of the Chebyshev-polynomial expansion
of the density of states of non-Hermitian models. As explained in more detail
in the Introduction, our algorithm for non-Hermitian models may be the only
available efficient algorithm for finding the density of states of models with
interactions.

11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th