Abstract
The Ginibre point process (GPP) is one of the main examples of determinantal point processes on the complex plane. It is a recurring distribution of random matrix theory as well as a useful model in applied mathematics. In this paper we briefly overviewthe usual methods for the simulation of the GPP. Then we introduce a modified version of the GPP which constitutes a determinantal point process more suited for certain applications, and we detail its simulation. This modified GPP has the property of having a fixed number of points and having its support on a compact subset of the plane. See Decreusefond et al. (2013) for an extended version of this paper.
| Original language | English |
|---|---|
| Pages (from-to) | 1003-1012 |
| Number of pages | 10 |
| Journal | Journal of Applied Probability |
| Volume | 52 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Dec 2015 |
Keywords
- Determinantal point process
- Ginibre point process
- Point process simulation
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