Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal map and harmonic measure of the Bunimovich stadium   We consider the conformal mapping of the Bunimovich stadium, a region
enclosed by a Jordan curve with four smooth corners, primarily in the context
of a particle undergoing Brownian motion within its closed geometry with
Dirichlet boundary conditions. A Chebyshev weighting of the solutions of Symm's
integral equation is employed to give a numerical conformal map of the region
onto the canonical domain of the unit disk in the complex plane. As a measure
of the accuracy of the transformation, the domes' harmonic measure evaluated at
the centre of the stadium is thereby extracted and is compared with results
obtained from Schwarz-Christoffel transformations and Monte Carlo simulations;
the pros and cons of the method are reiterated.

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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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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: stat
18
The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
3
The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an