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Bibliographic Details
Main Authors:	Furioli, G., Pulvirenti, A., Terraneo, E., Toscani, G.
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs
Online Access:	https://arxiv.org/abs/2511.12197
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Table of Contents:

We consider new connections between the problem of trend to equilibrium for the n-dimensional Fokker--Planck equation of statistical physics, and weighted Poincaré inequality. To this aim we consider a class of n-dimensional Fokker--Planck equations with variable isotropic coefficient of diffusion and drift, inspired by the analogous one-dimensional Fokker--Planck equation appearing when studying the evolution of wealth distribution.