Abstract. The aim of this paper is to study large deviations for the selfsimilar solution of a Kac-type kinetic equation. Under the assumption that the initial condition belongs to the domain of normal attraction of a stable law of index < 2 and under suitable assumptions on the collisional kernel, precise asymptotic behavior of the large deviations probability is given.
Large deviations for the solution of a Kac-type kinetic equation
LADELLI, LUCIA MARIA;Federico Bassetti
2013-01-01
Abstract
Abstract. The aim of this paper is to study large deviations for the selfsimilar solution of a Kac-type kinetic equation. Under the assumption that the initial condition belongs to the domain of normal attraction of a stable law of index < 2 and under suitable assumptions on the collisional kernel, precise asymptotic behavior of the large deviations probability is given.File in questo prodotto:
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