Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solving mean field rough differential equations   We provide in this work a robust solution theory for random rough
differential equations of mean field type $$ dX_t = V(X_t,\mathcal{L}(X_t))dt +
F(X_t,\mathcal{L}(X_t))dW_t, $$ where $W$ is a random rough path and
$\mathcal{L}(X_t)$ stands for the law of $X_t$, with mean field interaction in
both the drift and diffusivity. The analysis requires the introduction of a new
rough path-like setting and an associated notion of controlled path. We use
crucially Lions' approach to differential calculus on Wasserstein space along
the way.

8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org