Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ergodic Mean Field Games with H\"ormander diffusions   We prove existence of solutions for a class of systems of subelliptic PDEs
arising from Mean Field Game systems with H\"ormander diffusion. These results
are motivated by the feedback synthesis Mean Field Game solutions and the Nash
equilibria of a large class of $N$-player differential games.

37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg