Computing Poisson Boundaries without Moment Conditions

Watch a 46-minute mathematics seminar where Josh Frisch from the University of California San Diego explores the computation of Poisson boundaries without relying on moment conditions. Delve into the measure theoretic object known as the Poisson boundary, which serves to classify both the space of possible asymptotic events in random walks and the space of bounded harmonic functions. Learn how recent collaborative research demonstrates that previously crucial moment conditions are largely unnecessary, with specific focus on acylindrically hyperbolic groups and wreath products. The presentation draws from joint works with Kunal Chawla, Behrang Forghani, Giullio Tiozzo, and Eduardo Silva, offering new insights into this advanced mathematical concept.