Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On some recent aspects of stochastic control and their applications   This paper is a survey on some recent aspects and developments in stochastic
control. We discuss the two main historical approaches, Bellman's optimality
principle and Pontryagin's maximum principle, and their modern exposition with
viscosity solutions and backward stochastic differential equations. Some
original proofs are presented in a unifying context including degenerate
singular control problems. We emphasize key results on characterization of
optimal control for diffusion processes, with a view towards applications. Some
examples in finance are detailed with their explicit solutions. We also discuss
numerical issues and open questions.

9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
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
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ