Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large deviations for interacting particle systems: joint mean-field and
  small-noise limit   We consider a system of stochastic interacting particles in $\mathbb{R}^d$
and we describe large deviations asymptotics in a joint mean-field and
small-noise limit. Precisely, a large deviations principle (LDP) is established
for the empirical measure and the stochastic current, as the number of
particles tends to infinity and the noise vanishes, simultaneously. We give a
direct proof of the LDP using tilting and subsequently exploiting the link
between entropy and large deviations. To this aim we employ consistency of
suitable deterministic control problems associated to the stochastic dynamics.

26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat