We study the rate of convergence to equilibrium of the solution of a Fokker–Planck type equation introduced in [G. Toscani, Kinetic models of opinion formation Commun. Math. Sci., 4 (3) (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.
(2019). Wright–Fisher–type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities [journal article - articolo]. In ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. Retrieved from http://hdl.handle.net/10446/144799
Wright–Fisher–type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities
Furioli, Giulia;
2019-08-30
Abstract
We study the rate of convergence to equilibrium of the solution of a Fokker–Planck type equation introduced in [G. Toscani, Kinetic models of opinion formation Commun. Math. Sci., 4 (3) (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.| File | Dimensione del file | Formato | |
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