Random interpolating sequences in the Nevanlinna class

The study of interpolating sequences for analytic functions in one or more complex variables is one of the main research areas in complex analysis. It has plenty of applications in fields such as signal theory, control theory, operator theory, etc. For many spaces, like Hardy spaces, these sequences are well understood while for others, like Dirichlet spaces, there exists a characterization which is not very easy to verify. In other circumstances, a characterisation does even not exist. In this scenario it is useful to consider a random setting, which can help us to understand when interpolation is “generic”. In particular in this talk we are going to start introducing deterministic interpolation in the Nevanlinna class, to then consider a random setting, more specifically a radial model (where points’ radii are fixed, while the arguments are uniformly distributed). In this case we will give sufficient condition for a sequence to be or to not be interpolating.