Freeness with amalgamation, limit theorems and S-transform in non-commutative probability spaces of type B

• Autorzy: Mihai Popa
• Języki publikacji: EN

Abstrakty

EN

The paper addresses several problems left open by P. Biane, F. Goodman and A. Nica [Trans. Amer. Math. Soc. 355 (2003)]. The main result is that a type B non-commutative probability space can be studied in the framework of freeness with amalgamation. This view allows easy ways of constructing a version of the S-transform as well as proving analogues to the Central Limit Theorem and Poisson Limit Theorem.

Kategorie tematyczne

• 46L53: Noncommutative probability and statistics
• 46L54: Free probability and free operator algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 120
• Numer: 2
• Strony: 319-329

Daty

wydano

2010

Twórcy

autor

Mihai Popa

• Center for Advanced Studies in Mathematics, Ben Gurion University of the Negev, P.O.B. 653, Be'er Sheva 84105, Israel
• Institute of Mathematics "Simion Stoilow", of the Romanian Academy, P.O. Box 1-764, RO-014700 Bucureşti, Romania

Identyfikatory

DOI

10.4064/cm120-2-11