Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean-field limit versus small-noise limit for some interacting particle
  systems   In the nonlinear diffusion framework, stochastic processes of McKean-Vlasov
type play an important role. In some cases they correspond to processes
attracted by their own probability distribution: the so-called self-stabilizing
processes. Such diffusions can be obtained by taking the hydrodymamic limit in
a huge system of linear diffusions in interaction. In both cases, for the
linear and the nonlinear processes, small-noise asymptotics have been
emphasized by specific large deviation phenomenons. The natural question,
therefore, is: is it possible to interchange the mean-field limit with the
small-noise limit? The aim here is to consider this question by proving that
the rate function of the first particle in a mean-field system converges to the
rate function of the hydrodynamic limit as the number of particles becomes
large.

9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio