Stable laws and domains of attraction in free probability theory.
Bercovici, Hari; Pata, Vittorino
Annals of Mathematics. Second Series (1999)
- Volume: 149, Issue: 3, page 1023-1060
- ISSN: 0003-486X
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topBercovici, Hari, and Pata, Vittorino. "Stable laws and domains of attraction in free probability theory.." Annals of Mathematics. Second Series 149.3 (1999): 1023-1060. <http://eudml.org/doc/120522>.
@article{Bercovici1999,
author = {Bercovici, Hari, Pata, Vittorino},
journal = {Annals of Mathematics. Second Series},
keywords = {free convolution of probability measures; infinitely divisible law; stable law; (partial) domain of attraction; Voiculescu transformation; convolution; Fourier transform; Lévy-Khinchin formula; *-stable laws; Cauchy transform; Zolotarev's duality; unimodality of free stable distributions},
language = {eng},
number = {3},
pages = {1023-1060},
publisher = {Princeton University, Mathematics Department, Princeton, NJ; Mathematical Sciences Publishers, Berkeley},
title = {Stable laws and domains of attraction in free probability theory.},
url = {http://eudml.org/doc/120522},
volume = {149},
year = {1999},
}
TY - JOUR
AU - Bercovici, Hari
AU - Pata, Vittorino
TI - Stable laws and domains of attraction in free probability theory.
JO - Annals of Mathematics. Second Series
PY - 1999
PB - Princeton University, Mathematics Department, Princeton, NJ; Mathematical Sciences Publishers, Berkeley
VL - 149
IS - 3
SP - 1023
EP - 1060
LA - eng
KW - free convolution of probability measures; infinitely divisible law; stable law; (partial) domain of attraction; Voiculescu transformation; convolution; Fourier transform; Lévy-Khinchin formula; *-stable laws; Cauchy transform; Zolotarev's duality; unimodality of free stable distributions
UR - http://eudml.org/doc/120522
ER -
Citations in EuDML Documents
top- Gennadii Chistyakov, Friedrich Götze, The arithmetic of distributions in free probability theory
- Hari Bercovici, Vittorino Pata, Limit laws for products of free and independent random variables
- Gennadii Chistyakov, Friedrich Götze, Limit theorems in free probability theory II
- Florent Benaych-Georges, On a surprising relation between the Marchenko–Pastur law, rectangular and square free convolutions
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