Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continued Fractions and the Partially Asymmetric Exclusion Process   We note that a tridiagonal matrix representation of the algebra of the
partially asymmetric exclusion process (PASEP) lends itself to interpretation
as the transfer matrix for weighted Motzkin lattice paths. A continued fraction
("J-Fraction") representation of the lattice path generating function is
particularly well suited to discussing the PASEP, for which the paths have
height dependent weights. We show that this not only allows a succinct
derivation of the normalisation and correlation lengths of the PASEP, but also
reveals how finite-dimensional representations of the PASEP algebra, valid only
along special lines in the phase diagram, relate to the general solution that
requires an infinite-dimensional representation.

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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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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: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio