Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of excursion point processes and its applications to
  functional limit theorems of Markov processes on a half-line   Invariance principles are obtained for a Markov process on a half-line with
continuous paths on the interior. The domains of attraction of the two
different types of self-similar processes are investigated. Our approach is to
establish convergence of excursion point processes, which is based on It\^{o}'s
excursion theory and a recent result on convergence of excursion measures by
Fitzsimmons and the present author.

24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph