|Topic:||Hole Probability for Entire Functions Represented by Gaussian Taylor Series|
|Affiliation:||Tel Aviv University|
|Date:||Tuesday, October 9|
|Time/Room:||3:00pm - 4:00pm/S-101|
We study the hole probability of Gaussian entire functions. More specifically, we work with entire functions given by a Taylor series with i.i.d complex Gaussian random variables and arbitrary non-random coefficients. A 'hole' is the event where the function has no zeros in a disk of radius r. We find exact asymptotics for the rate of decay of the hole probability for large values of r, outside a small (non-random) exceptional set.