Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The automorphism group of a graphon   We study the automorphism group of graphons (graph limits). We prove that
after an appropriate "standardization" of the graphon, the automorphism group
is compact. Furthermore, we characterize the orbits of the automorphism group
on $k$-tuples of points. Among applications we study the graph algebras defined
by finite rank graphons and the space of node-transitive graphons.

3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph