Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a property of random walk polynomials involving Christoffel functions   Discrete-time birth-death processes may or may not have certain properties
known as asymptotic aperiodicity and the strong ratio limit property. In all
cases known to us a suitably normalized process having one property also
possesses the other, suggesting equivalence of the two properties for a
normalized process. We show that equivalence may be translated into a property
involving Christoffel functions for a type of orthogonal polynomials known as
random walk polynomials. The prevalence of this property - and thus the
equivalence of asymptotic aperiodicity and the strong ratio limit property for
a normalized birth-death process - is proven under mild regularity conditions.

7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th