The Palm measure and the Voronoi tessellation for the Ginibre process
By Andrew L. Goldman. 2006
78 citations recorded by the source corpus.
We prove that the Palm measure of the Ginibre process is obtained by removing a Gaussian distributed point from the process and adding the origin. We obtain also precise formulas describing the law of the typical cell of Ginibre--Voronoi tessellation. We show that near the germs of the cells a more important part of the area is captured in the Ginibre--Voronoi tessellation than in the Poisson--Voronoi tessellation. Moment areas of corresponding subdomains of the cells are explicitly evaluated.
Subfields: Discrete Mathematics and Combinatorics, Mathematical Physics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/e9df460285b555e1789e9f610d2b648c5ad0c6d1
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In Discrete Mathematics and Combinatorics
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In Statistics and Probability
- Charles Bordenave
- Djalil CHAFAÏ
- Nicholas A. Cook
- Pietro Caputo
- Terence Tao
- M. Capitaine
- Van H. Vu
- Hoi H. Nguyen
Citations in the corpus
- Around the circular law (2011, background): “The square of the smallest singular value sn(n −1/2G)2 of the Complex Ginibre Ensemble follows an exponential law [40] and this result is asymptotically universal [149]; • Gap probabilities and Voronöı cells (see [3] and [62] for the Ginibre Ensemble); • Linear statistics of μX (some results are ava”