Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rigorous derivation of a binary-ternary Boltzmann equation for a dense
  gas of hard spheres   This paper provides the first rigorous derivation of a binary-ternary
Boltzmann equation describing the kinetic properties of a dense hard-spheres
gas, where particles undergo either binary or ternary instantaneous
interactions, while preserving momentum and energy. An important challenge we
overcome in deriving this equation is related to providing a mathematical
framework that allows us to detect both binary and ternary interactions.
Furthermore, this paper introduces new algebraic and geometric techniques in
order to eventually decouple binary and ternary interactions and understand the
way they could succeed one another in time.

30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg