Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zeros of the Derivatives of Faber Polynomials Associated with a
  Universal Covering Map   For a compact set $E \subset \mathbb{C}$ containing more than two points, we
study asymptotic behavior of normalized zero counting measures $\{\mu_k \}$ of
the derivatives of Faber polynomials associated with $E$. For example if $E$
has empty interior, we prove that $\{\mu_k \}$ converges in the weak-star
topology to a measure whose support is the boundary of $g(\mathcal{D})$, where
$g : \{|z| > r \}\cup \{\infty\} \to \bar{\mathbb{C}} \backslash E$ is a
universal covering map such that $g(\infty) = \infty$ and $\mathcal{D}$ is the
Dirichlet domain associated with $g$ and centered at $\infty$.
  Our results are counterparts of those of Kuijlaars and Saff (1995) on zeros
of Faber polynomials.

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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con