Dynamics Seminar

Event Information Log-integrability of Rademacher Fourier series and applications to random analytic functions
15:10 on Monday February 24, 2014
16:00 on Monday February 24, 2014
BA6183, Bahen Center, 40 St. George St.
Alon Nishry

Institute for Advanced Studies (IAS)

We prove that the logarithm of Fourier series with random signs is integrable to any positive power. Using this result we answer a long-standing question by J.-P. Kahane, concerning the range of random power series in the unit disk. In addition, we use this result to prove the angular equidistribution of the zeros of entire functions with random signs.

This is a joint work with F. Nazarov and M. Sodin.