Adaptive optics (AO) is used in astronomy to obtain high
close to diffraction limited, of stars and galaxies with ground
otherwise blurred by atmospheric turbulence.
In order to succesfully compensate for the distorsion induced by
athmospheric turbulence one (or more) deformable mirros are deformed;
control action used measurements of the wavefront distorsion.
Next generation AO systems have thousand of sensors and actuators
such pose non-trivial issues both for modeling and control.
In this respect, it is important to predict the turbulent phase
affecting the reconstruction and to this aim the modeling of turbulence
starting from the theoretical statistics and a collection of
measurements represents a challenging and hot topic in the field.