Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long-time behavior of stochastic model with multi-particle
  synchronization   We consider a basic stochastic particle system consisting of $N$ identical
particles with isotropic $k$-particle synchronization, $k\geq 2$. In the limit
when both number of particles $N$ and time $t=t(N)$ grow to infinity we study
an asymptotic behavior of a coordinate spread of the particle system. We
describe three time stages of $t(N)$ for which a qualitative behavior of the
system is completely different. Moreover, we discuss the case when a spread of
the initial configuration depends on $N$ and increases to infinity as $N\to
\infty $.

19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
18
The categories of this paper are: econ