Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Multi-Dimensional Controller and Stopper Games   We consider a zero-sum stochastic differential controller-and-stopper game in
which the state process is a controlled diffusion evolving in a
multi-dimensional Euclidean space. In this game, the controller affects both
the drift and the volatility terms of the state process. Under appropriate
conditions, we show that the game has a value and the value function is the
unique viscosity solution to an obstacle problem for a Hamilton-Jacobi-Bellman
equation.

33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph