|Non-equilibrium Dynamics and Random Matrices|
|Topic:||Log-integrability of Rademacher Fourier series and applications to random analytic functions|
|Affiliation:||Member, School of Mathematics|
|Date:||Tuesday, February 11|
|Time/Room:||2:00pm - 3:00pm/S-101|
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).