34 citations · 77 across the 3 of their papers we have counts for
3 papers
math.PR2009★ 34 cited
Reaching the best possible rate of convergence to equilibrium for solutions of Kac's equation via central limit theorem
Emanuele Dolera, Ester Gabetta, Eugenio Regazzini
Let be the probability density function which represents the solution of Kac's equation at time , with initial data , and let be the Gaussian density wit…
math.PR2009★ 17 cited
Central limit theorem for the solution of the Kac equation
Ester Gabetta, Eugenio Regazzini
We prove that the solution of the Kac analogue of Boltzmann's equation can be viewed as a probability distribution of a sum of a random number of random variables. This fact allows…
math-ph2008★ 26 cited
Probabilistic study of the speed of approach to equilibrium for an inelastic Kac model
Federico Bassetti, Lucia Ladelli, Eugenio Regazzini
This paper deals with a one--dimensional model for granular materials, which boils down to an inelastic version of the Kac kinetic equation, with inelasticity parameter . In p…