Large Deviations for the solution of a Kac-type kinetic equation
Probability
2012-10-17 v1
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 and under suitable assumptions on the collisional kernel, precise asymptotic behavior of the large deviations probability is given.
Cite
@article{arxiv.1210.4468,
title = {Large Deviations for the solution of a Kac-type kinetic equation},
author = {Federico Bassetti and Lucia Ladelli},
journal= {arXiv preprint arXiv:1210.4468},
year = {2012}
}