Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak calculus of variations for functionals of laws of semi-martingales   We develop a non-anticipating calculus of variations for functionals on a
space of laws of continuous semi-martingales, which extends the classical one.
We extend Hamilton's least action principle and Noether's theorem to this
generalized stochastic framework. As an application we obtain, under mild
conditions, a stochastic Euler-Lagrange condition and invariants for the
critical points of recent problems in stochastic control, namely for the
semi-martingale optimal transportation problems.

8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics