# 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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