Central Limit Theorem for Superdiffusive Processes

Watch a 56-minute mathematics research seminar where Dr. Isao Sauzedde from the University of Warwick explores superdiffusive processes and their relationship with the central limit theorem. Examine various examples of these processes characterized by a beta parameter, focusing particularly on obliquely reflected Brownian motion in generalized parabolic domains. Learn about the fascinating phase transition phenomenon where these models satisfy the central limit theorem up to a critical beta value, after which non-Gaussian corrections become dominant. Delve into joint research findings with Aleksandar Mijatovic and Andrew Wade that demonstrate both the success and failure of the central limit theorem depending on the critical parameter conditions.