Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Champagne subregions of the unit disc   This paper concerns harmonic measure on the domains that arise when
infinitely many disjoint closed discs are removed from the unit disc. It
investigates which configurations of discs are unavoidable for Brownian motion,
and obtains refinements of related results of Akeroyd, and of Ortega-Cerd\`{a}
and Seip.

9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph