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Caltech

Caltech/UCLA Joint Analysis Seminar

Tuesday, January 19, 2021
3:00pm to 3:55pm
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Online Event
Stationary random entire functions and related questions
Adi Glücksam, Department of Mathematics, University of Toronto,

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.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].