Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: It\^o-Wiener expansion for functionals of the Arratia's flow $n$-point
  motion   The structure of square integrable functionals measurable with respect to the
$n-$point motion of the Arratia flow is studied. Relying on the change of
measure technique, a new construction of multiple stochastic integrals along
trajectories of the flow is presented. The analogue of the It\^o-Wiener
expansion for square integrable functionals from the Arratia's flow $n-$point
motion is constructed.

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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph