no. 13-14
Probability Theory
Orbit measures and interlaced determinantal point processes
[Mesures orbitales et processus ponctuels déterminantaux entrelacés]

Présenté par : Marc Yor

Defosseux, Manon1
1 LPMA, Université Pierre-et-Marie-Curie, 175, rue du Chevaleret, 75013 Paris, France
Comptes Rendus. Mathématique, Tome 346 (2008) no. 13-14, pp. 783-788.

Nous étudions des configurations aléatoires entrelacées sur N×R en considérant les valeurs propres des mineurs principaux de matrices hermitiennes aléatoires des algèbres de Lie complexes classiques. Nous montrons que ces configurations aléatoires sont déterminantales et donnons leur noyau de corrélation.

We study random interlaced configurations on N×R considering the eigenvalues of the main minors of Hermitian random matrices of the classical complex Lie algebras. We show that these random configurations are determinantal and give their correlation kernels.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2008.05.016
Defosseux, Manon 1

1 LPMA, Université Pierre-et-Marie-Curie, 175, rue du Chevaleret, 75013 Paris, France 
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Defosseux, Manon. Orbit measures and interlaced determinantal point processes. Comptes Rendus. Mathématique, Tome 346 (2008) no. 13-14, pp. 783-788. doi : 10.1016/j.crma.2008.05.016. http://www.numdam.org/articles/10.1016/j.crma.2008.05.016/

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