Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The smallest Mealy automaton of intermediate growth   In this paper we study the smallest Mealy automaton of intermediate growth,
first considered by the last two authors. We describe the automatic
transformation monoid it defines, give a formula for the generating series for
its (ball volume) growth function, and give sharp asymptotics for its growth
function, namely [ F(n) \sim 2^{5/2} 3^{3/4} \pi^{-2} n^{1/4}
\exp{\pi\sqrt{n/6}} ] with the ratios of left- to right-hand side tending to 1
as $n \to \infty$.

26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph