Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform perfectness of the Berkovich Julia sets in non-archimedean
  dynamics   We show that a rational function $f$ of degree $>1$ on the projective line
over an algebraically closed field that is complete with respect to a
non-trivial and non-archimedean absolute value has no potentially good
reductions if and only if the Berkovich Julia set of $f$ is uniformly perfect.
As an application, a uniform regularity of the boundary of each Berkovich Fatou
component of $f$ is also established.

35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat