Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperbolic Coxeter groups of minimal growth rates in higher dimensions   The cusped hyperbolic n-orbifolds of minimal volume are well known for $n
\leq 9$. Their fundamental groups are related to the Coxeter n-simplex groups
$\Gamma_n$ listed in Table 1. In this work, we prove that $\Gamma_n$ has
minimal growth rate among all non-cocompact Coxeter groups of finite covolume
in $\hbox{Isom}\mathbb H^n$. In this way, we extend previous results of Floyd
for $n = 2$ and of Kellerhals for $n = 3$ respectively. Our proof is a
generalisation of the methods developed in [2] for the cocompact case.

31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph