An example and some questions fo Bayesian nonparametric statistics, from a predictive point of view

In this note we raise some questions for Bayesian nonparametric statistics starting from an example. The problems is described by Coram an Diaconis (2001) and regards studying, by probabilistic techniques, the correspondence between the eigenvalues of random unitary matrices and the complex zeros of Riemann's zeta function. This is an intriguing problem, and we will only underline some of the questions which might arise if we look at it from a (non parametric) Bayesian point of view.