Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derivative Estimates on Distributions of McKean-Vlasov SDEs   By using the heat kernel parameter expansion with respect to the frozen SDEs,
the intrinsic derivative is estimated for the law of Mckean-Vlasov SDEs with
respect to the initial distribution. As an application, the total variation
distance between the laws of two solutions is bounded by the Wasserstein
distance for initial distributions. These extend some recent results proved for
distribution-free noise by using the coupling method and Malliavin calculus.

22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph