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arXiv · 2511.12197

Fokker--Planck equations and n--dimensional Poincar\'e inequalities for isotropic densities

G. Furioli·A. Pulvirenti·E. Terraneo·G. Toscani
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Abstract

We consider new connections between the problem of trend to equilibrium for the n-dimensional Fokker--Planck equation of statistical physics, and weighted Poincar\'e 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.

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G. Furioli, A. Pulvirenti, E. Terraneo, G. Toscani. 2025-11-15. Fokker--Planck equations and n--dimensional Poincar\'e inequalities for isotropic densities. https://arxiv.org/abs/2511.12197

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