Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computation of Analytic Capacity and applications to the Subadditivity
  Problem   We develop a least-squares method for computing the analytic capacity of
compact plane sets with piecewise-analytic boundary. The method furnishes
rigorous upper and lower bounds which converge to the true value of the
capacity. Several illustrative examples are presented. We are led to formulate
a conjecture which, if true, would imply that analytic capacity is subadditive.
The conjecture is proved in a special case.

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The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
16
The categories of this paper are: stat
17
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: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th