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4 papers · 2 filters
Necessary and sufficient conditions for the existence of -determinantal processes
Franck Maunoury
We give necessary and sufficient conditions for existence and infinite divisibility of -determinantal processes. For that purpose we use results on negative binomial and ordinar…
A Survey on the Eigenvalues Local Behavior of Large Complex Correlated Wishart Matrices
Walid Hachem, Adrien Hardy, Jamal Najim
The aim of this note is to provide a pedagogical survey of the recent works by the authors ( arXiv:1409.7548 and arXiv:1507.06013) concerning the local behavior of the eigenvalues…
Large Complex Correlated Wishart Matrices: The Pearcey Kernel and Expansion at the Hard Edge
Walid Hachem, Adrien Hardy, Jamal Najim
We study the eigenvalue behaviour of large complex correlated Wishart matrices near an interior point of the limiting spectrum where the density vanishes (cusp point), and refine t…
A case study on regularity in cellular network deployment
Jean-Sébastien Gomez, Aurélien Vasseur, Anaïs Vergne +3
This paper aims to validate the -Ginibre point process as a model for the distribution of base station locations in a cellular network. The -Ginibre is a repulsive point proc…