Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Brownian motion as limit of the interchange process   We prove that the random empirical measure of appropriately rescaled particle
trajectories of the interchange process on path graphs converges weakly to the
deterministic measure of stationary Brownian motion on the unit interval. This
is a law of large numbers type result for particle trajectories of the
interchange process.
  After the completion of this manuscript we learned about a result of Durrett
and Neuhauser that implies this result.

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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: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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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: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex