Determinantal point processes associated with Bergman kernels: Construction and limit theorems
Determinantal point processes associated with Bergman kernels: Construction and limit theorems
Abstract We study determinantal point processes whose correlation kernel is the Bergman kernel of a high power of a positive Hermitian holomorphic line bundle over a compact complex manifold. We construct such processes in analogy to the orthogonal ensembles in random matrix theory, where the correlation kernel is the famous …