Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Speed of convergence to equilibrium in Wasserstein metrics for Kac-s
  like kinetic equations   This work deals with a class of one-dimensional measure-valued kinetic
equations, which constitute extensions of the Kac caricature. It is known that
if the initial datum belongs to the domain of normal attraction of an
\alpha-stable law, the solution of the equation converges weakly to a suitable
scale mixture of centered \alpha-stable laws. In this paper we present explicit
exponential rates for the convergence to equilibrium in Kantorovich-Wasserstein
distances of order p>\alpha, under the natural assumption that the distance
between the initial datum and the limit distribution is finite. For \alpha=2
this assumption reduces to the finiteness of the absolute moment of order p of
the initial datum. On the contrary, when \alpha<2, the situation is more
problematic due to the fact that both the limit distribution and the initial
datum have infinite absolute moment of any order p >\alpha. For this case, we
provide sufficient conditions for the finiteness of the Kantorovich-Wasserstein
distance.

18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex