Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pathwise Regularisation of Singular Interacting Particle Systems and
  their Mean Field Limits   We investigate the regularizing effect of certain perturbations by noise in
singular interacting particle systems in mean field scaling. In particular, we
show that the addition of a suitably irregular path can regularise these
dynamics and we recover the McKean--Vlasov limit under very broad assumptions
on the interaction kernel, only requiring it to be controlled in a possibly
distributional H\"older--Besov space. In the particle system we include two
sources of randomness, a common noise path $Z$ which regularises the dynamics
and a family of idiosyncratic noises, which we only assume to converge in mean
field scaling to a representative noise in the McKean--Vlasov equation.

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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: econ