Stable Laws and Domains of Attraction in Free Probability Theory

In this paper we determine the distributional behavior of sums of free (in the sense of Voiculescu) identically distributed, infinitesimal random variables. The theory is shown to parallel the classical theory of independent random variables, though the limit laws are usually quite different. Our wo...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Annals of mathematics 1999-05, Vol.149 (3), p.1023-1060
Hauptverfasser:	Bercovici, Hari, Pata, Vittorino, Biane, Philippe
Format:	Artikel
Sprache:	eng
Schlagworte:	Boolean data Borel measures Central limit theorem Density Law of large numbers Natural numbers Random variables Real numbers Semicircles
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!