Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: p Harmonic Measure in Simply Connected Domains   We extend to all planar simply connected domains Makarov-type results about
the Hausdorff dimension of $p$-harmonic measure pioneered by Lewis and
Bennewitz in the context of quasidisks.
  The key to our analysis is a gradient estimate using the distance to the
boundary and constants that only depend on $p$. This is achieved by studying
the conformal map from the unit disk to the simply connected domain to
construct good quasicurves from a point in the domain to the boundary.

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The categories of this paper are: stat
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The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
3
The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: eess