Lévy type characterization of stable laws for free random variables
Vittorino Pata
Abstract
Open-access reader
Vittorino Pata
Abstract
Open-access reader
We give a description of stable probability measures relative to free additive convolution. The definition of domain of attraction is given, and a proof is provided of the noncommutative analogue of Lévy Theorem.
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We give a description of stable probability measures relative to free additive convolution. The definition of domain of attraction is given, and a proof is provided of the noncommutative analogue of Lévy Theorem.
Key concepts: Mathematics, Characterization (materials science), Type (biology), Convolution (computer science), Free probability, Pure mathematics, Noncommutative geometry, Domain (mathematical analysis)