Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On matrix product ansatz for Asymmetric Simple Exclusion Process with
  open boundary in the singular case   We study a substitute for the matrix product ansatz for Asymmetric Simple
Exclusion Process with open boundary in the ``singular case''
$\alpha\beta=q^N\gamma\delta$, when the standard form of the matrix product
ansatz of Derrida, Evans, Hakim and Pasquier does not apply. In our approach,
the matrix product ansatz is replaced with a pair of linear functionals on an
abstract algebra. One of the functionals, $\varphi_1$, is defined on the entire
algebra, and determines stationary probabilities for large systems on $L\geq
N+1$ sites. The other functional, $\varphi_0$, is defined only on a
finite-dimensional linear subspace of the algebra, and determines stationary
probabilities for small systems on $L< N+1$ sites. Functional $\varphi_0$
vanishes on non-constant Askey-Wilson polynomials and in non-singular case
becomes an orthogonality functional for the Askey-Wilson polynomials.

25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga