Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the local time of random walks associated with Gegenbauer polynomials   The local time of random walks associated with Gegenbauer polynomials
$P_n^{(\alpha)}(x),\ x\in [-1,1]$ is studied in the recurrent case: $\alpha\in\
[-\frac{1}{2},0]$. When $\alpha$ is nonzero, the limit distribution is given in
terms of a Mittag-Leffler distribution. The proof is based on a local limit
theorem for the random walk associated with Gegenbauer polynomials. As a
by-product, we derive the limit distribution of the local time of some
particular birth and death Markov chains on $\bbN$.

23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs