Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recurrence relations and vector equilibrium problems arising from a
  model of non-intersecting squared Bessel paths   In this paper we consider the model of $n$ non-intersecting squared Bessel
processes with parameter $\alpha$, in the confluent case where all particles
start, at time $t=0$, at the same positive value $x=a$, remain positive, and
end, at time $T=t$, at the position $x=0$. The positions of the paths have a
limiting mean density as $n\to\infty$ which is characterized by a vector
equilibrium problem. We show how to obtain this equilibrium problem from
different considerations involving the recurrence relations for multiple
orthogonal polynomials associated with the modified Bessel functions.
  We also extend the situation by rescaling the parameter $\alpha$, letting it
increase proportionally to $n$ as $n$ increases. In this case we also analyze
the recurrence relation and obtain a vector equilibrium problem for it.

16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org