# Log-integrability of Rademacher Fourier series and applications to random analytic functions

 Non-equilibrium Dynamics and Random Matrices Topic: Log-integrability of Rademacher Fourier series and applications to random analytic functions Speaker: Alon Nishry Affiliation: Member, School of Mathematics Date: Tuesday, February 11 Time/Room: 2:00pm - 3:00pm/S-101 Video Link: https://video.ias.edu/nedrm/2014/0211-AlonNishry

We prove that the logarithm of Fourier series with random signs is integrable to any positive power. We use this result to prove the angular equidistribution of the zeros of entire functions with random signs (and more generally the almost sure convergence of certain linear statistics of the zeros).