Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Brownian motion and Symmetrization   In this survey we explore the salient connections made between Brownian
motion, symmetrization and complex analysis in the last 60 years starting with
Kakutani's paper (1944) equating harmonic measure and exit probability. To
exemplify these connections we will survey the techniques used in the
literature to prove isoperimetric results for exit probabilities and Riesz
capacities.

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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: solv-int
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol