26 citations · 26 across the 2 of their papers we have counts for
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math.PR2008
Central limit theorem for a class of one-dimensional kinetic equations
Federico Bassetti, Lucia Ladelli, Daniel Matthes
We introduce a class of Boltzmann equations on the real line, which constitute extensions of the classical Kac caricature. The collisional gain operators are defined by smoothing t…
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…