Lévy processes with no positive jumps at an increase time
We study the behaviour of a Lévy process with no positive jumps near its increase times. Specifically, we construct a local time on the set of increase times. Then, we describe the path decomposition at an increase time chosen at random according to the local time, and we evaluate the rate of escape before and after this instant.
scientific article; zbMATH DE number 569071
scientific article