Fokker--Planck equations and n--dimensional Poincar\'e inequalities for isotropic densities
Analysis of PDEs
2025-11-18 v1
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.
Keywords
Cite
@article{arxiv.2511.12197,
title = {Fokker--Planck equations and n--dimensional Poincar\'e inequalities for isotropic densities},
author = {G. Furioli and A. Pulvirenti and E. Terraneo and G. Toscani},
journal= {arXiv preprint arXiv:2511.12197},
year = {2025}
}