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math.PR2019
Clustering structure for species sampling sequences with general base measure
Federico Bassetti, Lucia Ladelli
We investigate the clustering structure of species sampling sequences , with general base measure. Such sequences are exchangeable with a species sampling random probabili…
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…