Multiple Ergodic Averages Along Polynomials for Systems of Commuting Transformations

Explore a 46-minute mathematics lecture from the Simons Semester on Dynamics where Borys Kuca from the University of Crete presents research on multiple ergodic averages along polynomials for systems of commuting transformations. Delivered at the Będlewo Mathematical Research and Conference Center as part of the conference on Nilpotent structures in topological dynamics, ergodic theory and combinatorics, the talk delves into advanced mathematical concepts at the intersection of ergodic theory and dynamical systems. Learn about the behavior of polynomial sequences in ergodic systems and their applications in mathematical analysis, presented at the prestigious Institute of Mathematics of the Polish Academy of Sciences in June 2023.