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

Mihai Popa. "Freeness with amalgamation, limit theorems and S-transform in non-commutative probability spaces of type B." Colloquium Mathematicae 120.2 (2010): 319-329. <http://eudml.org/doc/283512>.

@article{MihaiPopa2010,
abstract = {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.},
author = {Mihai Popa},
journal = {Colloquium Mathematicae},
keywords = {type B freeness; freeness with amalgamation; arcsine law; central limit theorem},
language = {eng},
number = {2},
pages = {319-329},
title = {Freeness with amalgamation, limit theorems and S-transform in non-commutative probability spaces of type B},
url = {http://eudml.org/doc/283512},
volume = {120},
year = {2010},
}

TY - JOUR
AU - Mihai Popa
TI - Freeness with amalgamation, limit theorems and S-transform in non-commutative probability spaces of type B
JO - Colloquium Mathematicae
PY - 2010
VL - 120
IS - 2
SP - 319
EP - 329
AB - 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.
LA - eng
KW - type B freeness; freeness with amalgamation; arcsine law; central limit theorem
UR - http://eudml.org/doc/283512
ER -