Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuity and finiteness of the radius of convergence of a p-adic
  differential equation via potential theory   We study the radius of convergence of a differential equation on a smooth
Berkovich curve over a non-archimedean complete valued field of characteristic
0. Several properties of this function are known: F. Baldassarri proved that it
is continuous and the authors showed that it factorizes by the retraction
through a locally finite graph. Here, assuming that the curve has no boundary
or that the differential equation is overconvergent, we provide a shorter proof
of both results by using potential theory on Berkovich curves.

0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th