206 citations · 1.1k across the 65 of their papers we have counts for
5 papers · 1 filter
Entropy inequalities for stable densities and strengthened central limit theorems
Giuseppe Toscani
We consider the central limit theorem for stable laws in the case of the standardized sum of independent and identically distributed random variables with regular probability densi…
The fractional Fisher information and the central limit theorem for stable laws
Giuseppe Toscani
A new information-theoretic approach to the central limit theorem for stable laws is presented. The main novelty is the concept of relative fractional Fisher information, which sha…
Kinetic models of opinion formation in the presence of personal conviction
Carlo Brugna, Giuseppe Toscani
We consider a nonlinear kinetic equation of Boltzmann type which takes into account the influence of conviction during the formation of opinion in a system of agents which interact…
Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays
Jean Dolbeault, Giuseppe Toscani
In this paper, we consider functionals based on moments and non-linear entropies which have a linear growth in time in case of source-type so-lutions to the fast diffusion or porou…
Mean field dynamics of collisional processes with duplication, loss and copy
Federico Bassetti, Giuseppe Toscani
In this paper we introduce and discuss kinetic equations for the evolution of the probability distribution of the number of particles in a population subject to binary interactions…