We present and discuss connections between the problem of trend to equilibrium for one-dimensional Fokker–Planck equations modeling socio-economic problems, and one-dimensional functional inequalities of the type of Poincaré, Wirtinger and logarithmic Sobolev, with weight, for probability densities with polynomial tails. As main examples, we consider inequalities satisfied by inverse Gamma densities, taking values on R+, and Cauchy-type densities, taking values on R.

(2022). One-Dimensional Fokker–Planck Equations and Functional Inequalities for Heavy Tailed Densities [journal article - articolo]. In MILAN JOURNAL OF MATHEMATICS. Retrieved from https://hdl.handle.net/10446/231149

One-Dimensional Fokker–Planck Equations and Functional Inequalities for Heavy Tailed Densities

Furioli, Giulia;
2022-01-01

Abstract

We present and discuss connections between the problem of trend to equilibrium for one-dimensional Fokker–Planck equations modeling socio-economic problems, and one-dimensional functional inequalities of the type of Poincaré, Wirtinger and logarithmic Sobolev, with weight, for probability densities with polynomial tails. As main examples, we consider inequalities satisfied by inverse Gamma densities, taking values on R+, and Cauchy-type densities, taking values on R.
articolo
2022
Furioli, Giulia Maria Dalia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe
(2022). One-Dimensional Fokker–Planck Equations and Functional Inequalities for Heavy Tailed Densities [journal article - articolo]. In MILAN JOURNAL OF MATHEMATICS. Retrieved from https://hdl.handle.net/10446/231149
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/231149
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