Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bowen entropy for actions of amenable groups   Bowen introduced a definition of topological entropy of subset inspired by
Hausdorff dimension in 1973 \cite{B}. In this paper we consider the Bowen's
entropy for amenable group action dynamical systems and show that under the
tempered condition, the Bowen entropy of the whole compact space for a given
F{\o}lner sequence equals to the topological entropy. For the proof of this
result, we establish a variational principle related to the Bowen entropy and
the Brin-Katok's local entropy formula for dynamical systems with amenable
group actions.

27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph