26 citations · 26 across the 2 of their papers we have counts for
3 papers
math.PR2012
Large Deviations for the solution of a Kac-type kinetic equation
Federico Bassetti, Lucia Ladelli
The aim of this paper is to study large deviations for the self-similar solution of a Kac-type kinetic equation. Under the assumption that the initial condition belongs to the doma…
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…