34 citations · 56 across the 3 of their papers we have counts for
3 papers
math.PR2012★ 5 cited
Complete characterization of convergence to equilibrium for an inelastic Kac model
Ester Gabetta, Eugenio Regazzini
Pulvirenti and Toscani introduced an equation which extends the Kac caricature of a Maxwellian gas to inelastic particles. We show that the probability distribution, solution of th…
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…