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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 Gl├╝cksam, 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].