Large deviation estimate of transition densities for jump processes
The author gives asymptotic upper and lower bounds of deviation type for the transition density of a jump type process on \(\mathbb R^d\), which is composed of stable-like processes on the line and vector field on \(\mathbb R^d\). To do this he uses the theory of Malliavin calculus both for diffusion and for jump type processes. In the case where there is no drift, the upper and lower bounds coincide.
scientific article; zbMATH DE number 1026237