2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95644By a hole we mean a disc that contains no flat chaotic analytic zero points (i.e. zeroes of a random entire function whose Taylor coefficients are independent complex-valued Gaussian variables, and the variance of the k-th coefficient is 1/k!). A given disc of radius r has a probability of being a hole, - the hole probability. We show that for large r the hole probability decays as exp(-cr^4).10 pagesComplex VariablesMathematical PhysicsProbability30B20; 30C15, 60G60, 82B10text