Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Meanders and the Temperley-Lieb algebra   The statistics of meanders is studied in connection with the Temperley-Lieb
algebra. Each (multi-component) meander corresponds to a pair of reduced
elements of the algebra. The assignment of a weight $q$ per connected component
of meander translates into a bilinear form on the algebra, with a Gram matrix
encoding the fine structure of meander numbers. Here, we calculate the
associated Gram determinant as a function of $q$, and make use of the
orthogonalization process to derive alternative expressions for meander numbers
as sums over correlated random walks.

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The categories of this paper are: cs
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn