2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109279We study Wigner function value statistics of classically chaotic quantum maps on compact 2D phase space. We show that the Wigner function statistics of a random state is a Gaussian, with the mean value becoming negligible compared to the width in the semi-classical limit. Using numerical example of quantized sawtooth map we demonstrate that the relaxation of time-dependent Wigner function statistics, starting from a coherent initial state, takes place on a logarithmically short log (hbar) time scale.5 pages, 4 figures (4 .eps files); for the proceedings of the 5th International Summer School/Conference in Maribor 2002: Let's Face Chaos through Nonlinear DynamicsQuantum PhysicsChaotic Dynamicstext