Varadhan estimates for a degenerated convolution semi-group: upper bound

英文摘要：

We give a proof of Varadhan estimates for a degenerated jump process with independent increments with more and more jumps which become smaller and smaller. The proof uses the Malliavin Calculus of Bismut type for jump process in semi-group theory and Wentzel-Freidlin estimates for jump process in semi-group theory.