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arXiv 1905.12901math-phmath.MPphysics.soc-ph
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关于意见形成、大时间行为和加权的Wright-Fisher型方程

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

Giulia Furioli, Ada Pulvirenti, Elide Terraneo, Giuseppe Toscani

摘要:

我们研究的速度收敛到平衡的Fokker-Planck型方程的作者之一,在2006年推出的多智能体系统中的意见形成的解决方案。这个Fokker-Planck方程的主要特点是存在一个可变的扩散系数和边界,这引入了新的具有挑战性的数学问题,在其长期行为的研究。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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