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Measurably entire functions and their growth October 18, 2017 (02:00 PM PDT - 03:00 PM PDT)
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Location: MSRI: Baker Board Room
Speaker(s) Adi Glucksam (Northwestern University)
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 Let (X,B,P) be a standard probability space. Let T:C\rightarrow PPT(X) be a free action of the complex plane on the space (X,B,P). We say that the function F:X\rightarrow C is measurably entire if it is measurable and for P-a.e x the function F_x(z):=F(T_zx) is entire. 

B. Weiss showed in '97 that for every free C action there exists a non-constant measurably entire function. In the talk I will present upper and lower bounds for the growth of such functions.

The talk is partly based on a joint work with L. Buhovsky, A.Logunov, and M. Sodin.

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