Entropy-type inequalities for generalized Gamma densities
Mathematical Physics
2019-10-01 v1 Statistical Mechanics
math.MP
Abstract
We investigate the relaxation to equilibrium of the solution of a class of one-dimensional linear Fokker--Planck type equations that have been recently considered in connection with the study of addiction phenomena in a system of individuals. The steady states of these equations belong to the class of generalized Gamma densities. As a by-product of the relaxation analysis, we prove new weighted Poincar\'e and logarithmic Sobolev type inequalities for this class of densities.
Cite
@article{arxiv.1909.13658,
title = {Entropy-type inequalities for generalized Gamma densities},
author = {Giuseppe Toscani},
journal= {arXiv preprint arXiv:1909.13658},
year = {2019}
}