Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Onsager-Machlup action functional for Mckean-Vlasov SDEs   This paper is devoted to deriving the Onsager-Machlup action functional for
Mckean-Vlasov stochastic differential equations in a class of norms that
dominate $L^2([0,1], \mathbb{R}^d)$, such as supremum norm
$\|\cdot\|_{\infty}$, H$\mathrm{\ddot{o}}$lder norms $\|\cdot\|_{\alpha}$ with
$\alpha<\frac{1}{4}$ and $L^p$-norms with $p>4$ are included. Moreover, the
corresponding Euler-Lagrange equation for Onsager-Machlup action functional is
derived and a example is given.

3
The categories of this paper are: physics
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat