Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal stopping for measure-valued piecewise deterministic Markov
  processes   This paper investigates the random horizon optimal stopping problem for
measure-valued piecewise deterministic Markov processes (PDMPs). This is
motivated by population dynamics applications, when one wants to monitor some
characteristics of the individuals in a small population. The population and
its individual characteristics can be represented by a point measure. We first
define a PDMP on a space of locally finite measures. Then we define a sequence
of random horizon optimal stopping problems for such processes. We prove that
the value function of the problems can be obtained by iterating some dynamic
programming operator. Finally we prove on a simple counter-example that
controlling the whole population is not equivalent to controlling a random
lineage.

11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
16
The categories of this paper are: stat