Determinantal point process models on the sphere

We consider determinantal point processes on the ddimensional unit sphere \mathbb{S}^{d} These are finite point processes exhibiting repulsiveness and with moment properties determined by a certain determinant whose entries are specified by a so-called kernel which we assume is a complex covariance function defined on \mathbb{S}^{d}\times\mathbb{S}^{d} We review the appealing properties of such processes, including their specific moment...