049 Mikhail Sodin

Translation-invariant probability measures on entire functions Abstract I shall speak about a somewhat unexpected object: the probability measures on the space of entire functions (of one complex variable) which are (a) invariant with respect to the action of the complex plane by translations, and (b) do not charge the constant functions. The existence (and even an abundance) of such measures was discovered by Benjy Weiss. My talk will be based on a joint work with Lev Buhovsky, Adi Glucksam, and Alexander Logunov https://arxiv.org/abs/1703.08101