Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropy in uniformly quasiregular dynamics   Let $M$ be a closed, oriented, and connected Riemannian $n$-manifold, for
$n\ge 2$, which is not a rational homology sphere. We show that, for a
non-constant and non-injective uniformly quasiregular self-map $f\colon M\to
M$, the topological entropy $h(f)$ is $\log \mathrm{deg}( f )$. This proves
Shub's entropy conjecture in this case.

37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom