Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on Harnack and Transportation inequalities For Stochastic
  Differential Equations with reflections   We establish transportation cost inequalities, with respect to the uniform
and $L_2$-metric, on the path space of continuous functions, for laws of
solutions of stochastic differential equations with reflections. We also
consider the case of stochastic differential equations involving local times.
Harnack inequalities for the associated semigroups are also established.

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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an