Multiplicative free square of the free Poisson measure and examples of free symmetrization

@article{MelanieHinz2010,
abstract = {We compute the moments and free cumulants of the measure $ρ_t: = π_t ⊠ π_t$, where $π_t$ denotes the free Poisson law with parameter t > 0. We also compute free cumulants of the symmetrization of $ρ_t$. Finally, we introduce the free symmetrization of a probability measure on ℝ and provide some examples.},
author = {Melanie Hinz, Wojciech Młotkowski},
journal = {Colloquium Mathematicae},
keywords = {moments; free cumulants; free Poisson law; free symmetrization},
language = {eng},
number = {1},
pages = {127-136},
title = {Multiplicative free square of the free Poisson measure and examples of free symmetrization},
url = {http://eudml.org/doc/283804},
volume = {119},
year = {2010},
}

TY - JOUR
AU - Melanie Hinz
AU - Wojciech Młotkowski
TI - Multiplicative free square of the free Poisson measure and examples of free symmetrization
JO - Colloquium Mathematicae
PY - 2010
VL - 119
IS - 1
SP - 127
EP - 136
AB - We compute the moments and free cumulants of the measure $ρ_t: = π_t ⊠ π_t$, where $π_t$ denotes the free Poisson law with parameter t > 0. We also compute free cumulants of the symmetrization of $ρ_t$. Finally, we introduce the free symmetrization of a probability measure on ℝ and provide some examples.
LA - eng
KW - moments; free cumulants; free Poisson law; free symmetrization
UR - http://eudml.org/doc/283804
ER -