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arXiv · 1210.4468

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

Federico Bassetti·Lucia Ladelli
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Abstract

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.

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Federico Bassetti, Lucia Ladelli. 2012-10-16. Large Deviations for the solution of a Kac-type kinetic equation. https://arxiv.org/abs/1210.4468

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