Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a family of Schreier graphs of intermediate growth associated with a
  self-similar group   For every infinite sequence $\omega=x_1,x_2,...$, with $x_i\in\{0,1\}$, we
construct an infinite 4-regular graph $X_{\omega}$. These graphs are precisely
the Schreier graphs of the action of a certain self-similar group on the space
$\{0,1\}^{\infty}$. We solve the isomorphism and local isomorphism problems for
these graphs, and determine their automorphism groups. Finally, we prove that
all graphs $X_\omega$ have intermediate growth.

10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph