Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recurrent random walks on $\mathbb{Z}$ with infinite variance:
  transition probabilities of them killed on a finite set   In this paper we consider an irreducible random walk on the integer lattice
$\mathbb{Z}$ that is in the domain of normal attraction of a strictly stable
process with index $\alpha\in (1, 2)$ and obtain the asymptotic form of the
distribution of the hitting time of the origin and that of the transition
probability for the walk killed when it hits a finite set. The asymptotic forms
obtained are valid uniformly in the natural domain of the space and time
variables.

32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess