206 citations · 1.1k across the 65 of their papers we have counts for
74 papers
Fokker--Planck equations and n--dimensional Poincaré inequalities for isotropic densities
G. Furioli, A. Pulvirenti, E. Terraneo +1
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 t…
Impact of interaction forces in first order many-agent systems for swarm manufacturing
Ferdinando Auricchio, Massimo Carraturo, Giuseppe Toscani +1
We study the large time behavior of a system of interacting agents modeling the relaxation of a large swarm of robots, whose task is to uniformly cover a portion of the domain by c…
Trends to equilibrium for a nonlocal Fokker-Planck equation
Ferdinando Auricchio, Giuseppe Toscani, Mattia Zanella
We obtain equilibration rates for a one-dimensional nonlocal Fokker-Planck equation with time-dependent diffusion coefficient and drift, modeling the relaxation of a large swarm of…
On a kinetic description of Lotka-Volterra dynamics
Giuseppe Toscani, Mattia Zanella
Owing to the analogies between the problem of wealth redistribution with taxation in a multi-agent society, we introduce and discuss a kinetic model describing the statistical dist…
The kinetic theory of mutation rates
Lorenzo Pareschi, Giuseppe Toscani
The Luria--Delbrück mutation model is a cornerstone of evolution theory and has been mathematically formulated in a number of ways. In this paper we illustrate how this model of mu…
On Fourier-based inequality indices
Giuseppe Toscani
Originally developed for measuring the heterogeneity of wealth measures, inequality indices are quantitative scores that take values in the unit interval, with the zero score chara…