Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics of multiple orthogonal polynomials for a system of two
  measures supported on a starlike set   For a system of two measures supported on a starlike set in the complex
plane, we study asymptotic properties of associated multiple orthogonal
polynomials $Q_{n}$ and their recurrence coefficients. These measures are
assumed to form a Nikishin-type system, and the polynomials $Q_{n}$ satisfy a
three-term recurrence relation of order three with positive coefficients. Under
certain assumptions on the orthogonality measures, we prove that the sequence
of ratios $\{Q_{n+1}/Q_{n}\}$ has four different periodic limits, and we
describe these limits in terms of a conformal representation of a compact
Riemann surface. Several relations are found involving these limiting functions
and the limiting values of the recurrence coefficients. We also study the $n$th
root asymptotic behavior and zero asymptotic distribution of $Q_{n}$.

17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph