Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $K$-averaging agent-based model: propagation of chaos and convergence to
  equilibrium   The paper treats an agent-based model with averaging dynamics to which we
refer as the K-averaging model. Broadly speaking, our model can be added to the
growing list of dynamics exhibiting self-organization such as the well-known
Vicsek-type models [1, 2, 29]. In the $K$-averaging model, each of the $N$
particles updates their position by averaging over $K$ randomly selected
particles with additional noise. To make the $K$-averaging dynamics more
tractable, we first establish a propagation of chaos type result in the limit
of infinite particle number (i.e. $N \to \infty$) using a martingale technique.
Then, we prove the convergence of the limit equation toward a suitable Gaussian
distribution in the sense of Wasserstein distance as well as relative entropy.
We provide additional numerical simulations to illustrate both results.

22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex