Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contributions to the theory of $F$-automatic sets   Fix an abelian group $\Gamma$ and an injective endomorphism $F \colon \Gamma
\to \Gamma$. Improving on the results of Bell and Moosa, new characterizations
are here obtained for the existence of spanning sets, $F$-automaticity, and
$F$-sparsity. The model theoretic status of these sets is also investigated,
culminating with a combinatorial description of the $F$-sparse sets that are
stable in $(\Gamma, +)$, and a proof that the expansion of $(\Gamma, +)$ by any
$F$-sparse set is NIP. These methods are also used to show for prime $p\ge 7$
that the expansion of $(\mathbb{F}_p[t], +)$ by multiplication restricted to
$t^\mathbb{N}$ is NIP.

17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas