Probabilistic behavior of Iterates of an Inner Function

by Artur Nicolau (Universitat Autònoma de Barcelona)

Monday Feb 3, 2025, 2:00 PM → 3:00 PM Europe/Paris

Amphi Schwartz

Paley, Salem and Zygmund showed that lacunary power series behave as independent random variables, in the sense that versions of the Central Limit Theorem hold in this context. After reviewing these results we will focus on linear combinations of iterates of an inner function. Almost everywhere convergence and the Central Limit Theorem will be discussed. Joint work with Odí Soler.