Dávid Kunszenti-Kovács: Entangled (pointwise) ergodic theorems

Speaker: Dávid Kunszenti-Kovács

Title: Entangled (pointwise) ergodic theorems

Abstract: Entangled ergodic means are multi-variable averages of products of powers of operators acting on a single Banach space element/function, with the same powers appearing repeatedly in the product in a way that does not allow for separation of these variables (the simplest example taking the form (T^nT^mT^n)f, with the two variables m and n). I shall give an overview of some of the background for such means, the context of other ergodic theorems that act as ingredients, and the functional analytical tools used in the proofs. EE This is in part joint work with Tanja Eisner (Uni Leipzig).