Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix product formula for $U_q(A^{(1)}_2)$-zero range process   The $U_q(A^{(1)}_n)$-zero range processes introduced recently by Mangazeev,
Maruyama and the authors are integrable discrete and continuous time Markov
processes associated with the stochastic $R$ matrix derived from the well-known
$U_q(A_n^{(1)})$ quantum $R$ matrix. By constructing a representation of the
relevant Zamolodchikov-Faddeev algebra, we present, for $n=2$, a matrix product
formula for the steady state probabilities in terms of $q$-boson operators.

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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con