Free powers of the free Poisson measure
Melanie Hinz; Wojciech Młotkowski
Colloquium Mathematicae (2011)
- Volume: 123, Issue: 2, page 285-290
- ISSN: 0010-1354
Access Full Article
top
Abstract
topHow to cite
topMelanie Hinz, and Wojciech Młotkowski. "Free powers of the free Poisson measure." Colloquium Mathematicae 123.2 (2011): 285-290. <http://eudml.org/doc/284248>.
@article{MelanieHinz2011,
abstract = {We compute moments of the measures $(ϖ^\{⊠ p\})^\{⊞ t\}$, where ϖ denotes the free Poisson law, and ⊞ and ⊠ are the additive and multiplicative free convolutions. These moments are expressed in terms of the Fuss-Narayana numbers.},
author = {Melanie Hinz, Wojciech Młotkowski},
journal = {Colloquium Mathematicae},
keywords = {additive and multiplicative free convolution; free Poisson distribution},
language = {eng},
number = {2},
pages = {285-290},
title = {Free powers of the free Poisson measure},
url = {http://eudml.org/doc/284248},
volume = {123},
year = {2011},
}
TY - JOUR
AU - Melanie Hinz
AU - Wojciech Młotkowski
TI - Free powers of the free Poisson measure
JO - Colloquium Mathematicae
PY - 2011
VL - 123
IS - 2
SP - 285
EP - 290
AB - We compute moments of the measures $(ϖ^{⊠ p})^{⊞ t}$, where ϖ denotes the free Poisson law, and ⊞ and ⊠ are the additive and multiplicative free convolutions. These moments are expressed in terms of the Fuss-Narayana numbers.
LA - eng
KW - additive and multiplicative free convolution; free Poisson distribution
UR - http://eudml.org/doc/284248
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.