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

Simple item page
dc.creatorPopa, Mihai
dc.date2007-08-31
dc.date2007-10-14
dc.date.accessioned2026-07-07T08:35:50Z
dc.date.available2026-07-07T08:35:50Z
dc.descriptionThe present material addresses several problems left open in the Trans. AMS paper " Non-crossing cumulants of type B" of P. Biane, F. Goodman and A. Nica. 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 analogue results to Central Limit Theorem and Poisson Limit Theorem.
dc.identifierhttps://arxiv.org/abs/0709.0011
dc.identifierhttp://arxiv.org/abs/0709.0011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139874
dc.subjectOperator Algebras
dc.subjectCombinatorics
dc.subject46L54; 05A15
dc.titleFreeness with amalgamation, limit theorems and S-transform in non-commutative probability spaces of type B
dc.typetext

Files

Collections

arXiv