publiée le 20 mai 2026
A dichotomy in the tail behaviour of quadratic Weyl sums
De Francesco Cellarosi
De Bryna Kra
Apparaît dans les collections : Probabilistic aspects of multiple ergodic averages / Aspects probabilistes des moyennes ergodiques multiples, Exposés de recherche
The classic mean ergodic theorem has been extended in numerous ways: multiple averages, polynomial iterates, weighted averages, along with combinations of these extensions. I will give an overview of these advances and the different techniques that have been used, focusing on convergence results and what can be said about the limits.