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SUMMARY:New results on Rademacher Fourier and Taylor series - Sodin\, M (T
 el Aviv University)
DTSTART:20120920T083000Z
DTEND:20120920T091000Z
UID:TALK39945@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:This is a report on a joint work in progress with Fedor Nazaro
 v and Alon Nishry. We prove that any power of the logarithm of Rademacher 
 Fourier series (i.e. a square summable Fourier series with random independ
 ent signs) is integrable. This result has several applications to zeroes a
 nd value-distribution of random Talor series. One of this applications giv
 es asymptotics for the counting function of zeroes of arbitrary Taylor ser
 ies with random independent signs\, and proves their angular equidistribut
 ion. Another application answers an old question by J.-P.Kahane. \n
LOCATION:Seminar Room 1\, Newton Institute
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