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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > New results on Rademacher Fourier and Taylor series

## New results on Rademacher Fourier and Taylor seriesAdd to your list(s) Download to your calendar using vCal - Sodin, M (Tel Aviv University)
- Thursday 20 September 2012, 09:30-10:10
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Mathematics and Physics of Anderson localization: 50 Years After This is a report on a joint work in progress with Fedor Nazarov and Alon Nishry. We prove that any power of the logarithm of Rademacher Fourier series (i.e. a square summable Fourier series with random independent signs) is integrable. This result has several applications to zeroes and value-distribution of random Talor series. One of this applications gives asymptotics for the counting function of zeroes of arbitrary Taylor series with random independent signs, and proves their angular equidistribution. Another application answers an old question by J.-P.Kahane. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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