On a Skew Stable Lévy Process - Lecture 3

Explore a mathematical lecture from Professor Andrey Pilipenko of the National Academy of Sciences of Ukraine, delivered as part of the Stochastic Systems for Anomalous Diffusion program. Delve into the concept of skew stable Lévy processes as natural counterparts to skew Brownian motion, examining how these processes behave when Brownian motion is replaced with a stable Lévy process having finite mean and infinite variance. Learn how a skew stable Lévy process X is defined through the convergence of perturbed stable Lévy processes, and understand the derivation of its resolvent formula and its relationship to stochastic differential equations involving local time. The hour-long presentation, hosted at the Isaac Newton Institute, offers deep insights into these specialized mathematical concepts and their applications in stochastic systems.