Limit theorems for free Lévy processes
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Publication:1994507
DOI10.1214/18-EJP224zbMath1408.46060arXiv1711.10220OpenAlexW2769519612MaRDI QIDQ1994507
Octavio Arizmendi, Takahiro Hasebe
Publication date: 1 November 2018
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.10220
Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)
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Cites Work
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- Matricial model for the free multiplicative convolution
- Unimodality of Boolean and monotone stable distributions
- Fuss-Catalan numbers in noncommutative probability
- Self-decomposability and Lévy processes in free probability
- Atoms and regularity for measures in a partially defined free convolution semigroup
- Free infinite divisibility for beta distributions and related ones
- Addition of certain non-commuting random variables
- Addition of freely independent random variables
- Lévy-Hinčin type theorems for multiplicative and additive free convolution
- Stable laws and domains of attraction in free probability theory
- Processes with free increments
- Classical and free infinitely divisible distributions and random matrices
- Stability and attraction to normality for Lévy processes at zero and at infinity
- Invariant subspaces of the quasinilpotent DT-operator
- Limit theorems for free Lévy processes
- Classical scale mixtures of Boolean stable laws
- SPECTRAL PROPERTIES OF RANDOM TRIANGULAR MATRICES
- Monotone convolution semigroups
- Brown measures of unbounded operators affiliated with a finite von Neumann algebra
- DT-operators and decomposability of Voiculescu's circular operator
- The Exponential Map in Non-commutative Probability
- On the multiplication of free N -tuples of noncommutative random variables
- New limit theorems related to free multiplicative convolution
- Semigroups related to additive and multiplicative, free and Boolean convolutions
- Monotone and boolean convolutions for non-compactly supported probability measures
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