Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Point Source Equilibrium Problems with Connections to Weighted
  Quadrature Domains   We explore the connection between supports of equilibrium measures and
quadrature identities, especially in the case of point sources added to the
external field $Q(z)=|z|^{2p}$ with $p \in \mathbb{N}$. Along the way, we
describe some quadrature domains with respect to weighted area measure
$|z|^{2p}dA_z$ and complex boundary measure $|z|^{-2p}dz$.

16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
9
The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas