The Ginibre point process (GPP) is one of the main examples of determinantalpoint processes on the complex plane. It is a recurring distribution of randommatrix theory as well as a useful model in applied mathematics. In this paperwe briefly overview the usual methods for the simulation of the GPP. Then weintroduce a modified version of the GPP which constitutes a determinantal pointprocess more suited for certain applications, and we detail its simulation.This modified GPP has the property of having a fixed number of points andhaving its support on a compact subset of the plane. See Decreusefond etal. (2013) for an extended version of this paper.
"A note on the simulation of the Ginibre point process." J. Appl. Probab. 52 (4) 1003 - 1012, December 2015. https://doi.org/10.1239/jap/1450802749