Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic scalar conservation laws driven by rough paths   We prove the existence and uniqueness of solutions to a class of stochastic
scalar conservation laws with joint space-time transport noise and
affine-linear noise driven by a geometric p-rough path. In particular,
stability of the solutions with respect to the driving rough path is obtained,
leading to a robust approach to stochastic scalar conservation laws. As
immediate corollaries we obtain support theorems, large deviation results and
the generation of a random dynamical system.

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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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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: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg