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Large deviations for the solution of a Kac-type kinetic equation

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  • 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 domain of normal attraction of a stable law of index $\alpha < 2$ and under suitable assumptions on the collisional kernel, precise asymptotic behavior of the large deviations probability is given.
    Mathematics Subject Classification: Primary: 60F10; Secondary: 82C40, 60F05.


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