Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the harmonic measure and capacity of rational lemniscates   We study the lemniscates of rational maps. We prove a reflection principle
for the harmonic measure of rational lemniscates and we give estimates for
their capacity and the capacity of their components. Also, we prove a version
of Schwarz's lemma for the capacity of the lemniscates of proper holomorphic
functions.

37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs