Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The combinatorics of hopping particles and positivity in Markov chains   The asymmetric simple exclusion process (ASEP) is a model for translation in
protein synthesis and traffic flow; it can be defined as a Markov chain
describing particles hopping on a one-dimensional lattice. In this article I
give an overview of some of the connections of the stationary distribution of
the ASEP to combinatorics (tableaux and multiline queues) and special functions
(Askey-Wilson polynomials, Macdonald polynomials, and Schubert polynomials). I
also make some general observations about positivity in Markov chains.

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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph