Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evolution of States of a Continuum Jump Model with Attraction   We study a model of an infinite system of point particles in $\mathds{R}^d$
performing random jumps with attraction. The system's states are probability
measures on the space of particle configurations, and their evolution is
described by means of Kolmogorov and Fokker-Planck equations. Instead of
solving these equations directly we deal with correlation functions evolving
according to a hierarchical chain of differential equations, derived from the
Kolmogorov equation. Under quite natural conditions imposed on the jump kernels
-- and analyzed in the paper -- we prove that this chain has a unique classical
sub-Poissonian solution on a bounded time interval. This gives a partial answer
to the question whether the sub-Poissonicity is consistent with any kind of
attraction. We also discuss possibilities to get a complete answer to this
question.

26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th