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

34 citations · 35 across the 2 of their papers we have counts for

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2 papers

math.PR2011★ 1 cited

Probabilistic representation for the solution of the homogeneous Boltzmann equation for Maxwellian molecules

Emanuele Dolera, Eugenio Regazzini

Consider the homogeneous Boltzmann equation for Maxwellian molecules. We provide a new representation for its solution in the form of expectation of a random probability measure M.…

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…