Analysis Seminar

Stationary random entire functions and related questions

Adi Glucksam, University of Toronto

Friday, February 12th, 2021
1:00 PM - 2:00 PM
Zoom ID 783 353 8838

The complex plane acts on the space of entire function by translations, taking \(f(z)\) to \(f(z+w)\). B.Weiss showed in `97 that there exists a probability measure defined on the space of entire functions, which is invariant under this action. In this talk I will present optimal bounds on the minimal possible growth of functions in the support of such measures and discuss other growth-related problems inspired by this work. In particular, I will focus on the question of minimal possible growth-rate of frequently oscillating subharmonic functions. The talk is partly based on a joint work with L. Buhovsky, A. Logunov, and M. Sodin.

Event contact: dan dot geba at rochester dot edu