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arXiv · 1905.12901

Wright-Fisher-type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities

Giulia Furioli·Ada Pulvirenti·Elide Terraneo·Giuseppe Toscani
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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.

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Giulia Furioli, Ada Pulvirenti, Elide Terraneo, Giuseppe Toscani. 2019-05-30. Wright-Fisher-type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities. https://arxiv.org/abs/1905.12901

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