Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Freidlin-Wentzell LDP in path space for McKean-Vlasov equations and the
  Functional Iterated Logarithm Law   We show two Freidlin-Wentzell type Large Deviations Principles (LDP) in path
space topologies (uniform and H\"older) for the solution process of
McKean-Vlasov Stochastic Differential Equations (MV-SDEs) using techniques
which directly address the presence of the law in the coefficients and
altogether avoiding decoupling arguments or limits of particle systems. We
provide existence and uniqueness results along with several properties for a
class of MV-SDEs having random coefficients and drifts of super-linear growth.
  As an application of our results, we establish a Functional Strassen type
result (Law of Iterated Logarithm) for the solution process of a MV-SDE.

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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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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: q-alg