most citedReaching the best possible rate of convergence to equilibrium for solutions of Kac's equation via central limit theorem

34 citations · 51 across the 2 of their papers we have counts for

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2 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…