NONCOMMUTATIVE BROWNIAN MOTIONS ASSOCIATED WITH KESTEN DISTRIBUTIONS AND RELATED POISSON PROCESSES

DOI10.1142/S0219025708003154zbMath1165.46032arXiv0709.4334MaRDI QIDQ3548307

Rafal Salapata, Romuald Lenczewski

Publication date: 11 December 2008

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.4334

zbMATH Keywords

free Brownian motionPoisson processFock spacefree independencemonotone independenceKesten lawsmonotone Brownian motion

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Brownian motion (60J65) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)

Related Items (7)

New characterization of two-state normal distribution ⋮ The monotone cumulants ⋮ V-monotone independence ⋮ Matricial \(R\)-transform ⋮ Matricially free random variables ⋮ CONDITIONALLY MONOTONE INDEPENDENCE I: INDEPENDENCE, ADDITIVE CONVOLUTIONS AND RELATED CONVOLUTIONS ⋮ DISCONTINUITY OF FOURIER TRANSFORMS OF POISSONIAN TYPE COUNTABLY ADDITIVE MEASURES

Cites Work

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• On the interacting Free Fock space and the deformed Wigner law
• Un théorème central limite pour des variables aléatoires non-commutatives
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• DISCRETE INTERPOLATION BETWEEN MONOTONE PROBABILITY AND FREE PROBABILITY
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