Jon Aaronson (Tel Aviv University)

Thursday, May 18, 2023, 11:10 – 12:00, -101


An analytic endomorphism of the unit disk is called an inner function if it’s boundary limit defines a transformation of the circle - which is necessarily Lebesgue nonsingular. I’ll review the ergodic theory of inner functions & then present results on:

– their structure;

– spectral gaps for their transfer operators; and

– a conditional central limit theorem;

all recently obtained with Mahendra Nadkarni.