Wright-Fisher-type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities
Mathematical Physics
2019-05-31 v1 math.MP
Physics and Society
Abstract
We study the rate of convergence to equilibrium of the solution of a Fokker--Planck type equation introduced by one of the authors in 2006 to describe opinion formation in a multi-agent system. The main feature of this Fokker--Planck equation is the presence of a variable diffusion coefficient and boundaries, which introduce new challenging mathematical problems in the study of its long-time behavior.
Keywords
Cite
@article{arxiv.1905.12901,
title = {Wright-Fisher-type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities},
author = {Giulia Furioli and Ada Pulvirenti and Elide Terraneo and Giuseppe Toscani},
journal= {arXiv preprint arXiv:1905.12901},
year = {2019}
}