Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Maxwellian kinetic equations modeling the evolution of wealth
  distribution   We introduce a class of new one-dimensional linear Fokker--Planck type
equations describing the evolution in time of the wealth in a multi-agent
society. The equations are obtained, via a standard limiting procedure, by
introducing an economically relevant variant to the kinetic model introduced in
2005 by Cordier, Pareschi and Toscani according to previous studies by Bouchaud
and M\'ezard. The steady state of wealth predicted by these new Fokker--Planck
equations remains unchanged with respect to the steady state of the original
Fokker--Planck equation. However, unlike the original equation, it is proven by
a new logarithmic Sobolev inequality with weight and classical entropy methods
that the solution converges exponentially fast to equilibrium.

11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th