Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random Walk in an Alcove of an Affine Weyl Group, and Non-Colliding
  Random Walks on an Interval   We use a reflection argument, introduced by Gessel and Zeilberger, to count
the number of k-step walks between two points which stay within a chamber of a
Weyl group. We apply this technique to walks in the alcoves of the classical
affine Weyl groups. In all cases, we get determinant formulas for the number of
k-step walks. One important example is the region m>x_1>x_2>...>x_n>0, which is
a rescaled alcove of the affine Weyl group C_n. If each coordinate is
considered to be an independent particle, this models n non-colliding random
walks on the interval (0,m). Another case models n non-colliding random walks
on the circle.

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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph