Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some results on optimal stopping problems for one-dimensional regular
  diffusions   For a type of employee stock option (ESO) and an American put option with a
barrier, we obtain closed-form formulae for the value functions and provide a
complete characterization for optimal stopping/continuation regions. Some
comparison principles for the critical levels and the value functions are
given. This work is inspired by the characterization of the value functions for
general one-dimensional regular diffusion processes developed in \cite{DK03} by
Dayanik and Karatzas.

21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas