Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Group automorphisms with few and with many periodic points   For any $C\in[0,\infty]$ a compact group automorphism $T:X\to X$ is
constructed with the property that $$ \frac{1}{n}\log|\{x\in X\mid
T^n(x)=x\}|\longrightarrow C. $$ This may be interpreted as a combinatorial
analogue of the (still open) problem of whether compact group automorphisms
exist with any given topological entropy.

21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con