Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant measures for multilane exclusion process   We consider the simple exclusion process on Z x {0, 1}, that is, an
"horizontal ladder" composed of 2 lanes. Particles can jump according to a
lane-dependent translation-invariant nearest neighbour jump kernel, i.e.
"horizontally" along each lane, and "vertically" along the scales of the
ladder. We prove that generically, the set of extremal invariant measures
consists of (i) translation-invariant product Bernoulli measures; and, modulo
translations along Z: (ii) at most two shock measures (i.e. asymptotic to
Bernoulli measures at $\pm$$\infty$) with asymptotic densities 0 and 2; (iii)
at most three shock measures with a density jump of magnitude 1. We fully
determine this set for certain parameter values. In fact, outside degenerate
cases, there is at most one shock measure of type (iii). The result can be
partially generalized to vertically cyclic ladders with arbitrarily many lanes.
For the latter, we answer an open question of [5] about rotational invariance
of stationary measures.

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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol