A continuous semigroup of notions of independence between the classical and the free one

Abstract : In this paper, we investigate a continuous family of notions of independence which interpolates between the classical and free ones for non-commutative random variables. These notions are related to the liberation process introduced by D. Voiculescu. To each notion of independence correspond new convolutions of probability measures, for which we establish formulae and of which we compute simple examples. We prove that there exists no reasonable analogue of classical and free cumulants associated to these notions of independence.
Type de document :
Pré-publication, Document de travail
27 pages. 2008
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00338778
Contributeur : Thierry Lévy <>
Soumis le : vendredi 28 novembre 2008 - 11:49:17
Dernière modification le : vendredi 10 février 2017 - 01:12:56
Document(s) archivé(s) le : mercredi 22 septembre 2010 - 11:07:26

Fichiers

tlibre2.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-00338778, version 2
  • ARXIV : 0811.2335

Collections

Citation

Florent Benaych-Georges, Thierry Lévy. A continuous semigroup of notions of independence between the classical and the free one. 27 pages. 2008. <hal-00338778v2>

Partager

Métriques

Consultations de
la notice

386

Téléchargements du document

125