Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Donsker-Varadhan Large Deviations for Path-Distribution Dependent SPDEs   As an important tool characterizing the long time behavior of Markov
processes, the Donsker-Varadhan LDP (large deviation principle) does not
directly apply to distribution dependent SDEs/SPDEs since the solutions are
non-Markovian. We establish this type LDP for several different models of
distribution dependent SDEs/SPDEs which may also with memories, by comparing
the original equations with the corresponding distribution independent ones. As
preparations, the existence, uniqueness and exponential convergence are also
investigated for path-distribution dependent SPDEs which should be interesting
by themselves.

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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc