Non-commutative notions of stochastic independence
From MaRDI portal
Publication:4786810
DOI10.1017/S0305004102006072zbMath1028.46094OpenAlexW2122278008MaRDI QIDQ4786810
Anis Ben Ghorbal, Michael Schürmann
Publication date: 14 April 2003
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0305004102006072
Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)
Related Items (29)
Non-commutative stochastic independence and cumulants ⋮ Asymptotic Spectral Distributions of Distance-k Graphs of Star Product Graphs ⋮ A noncommutative extended de Finetti theorem ⋮ Mixtures of classical and free independence ⋮ Combinatorics of NC-probability spaces with independent constants ⋮ Tree convolution for probability distributions with unbounded support ⋮ Cumulants, spreadability and the Campbell-Baker-Hausdorff series ⋮ Towards a classification of multi-faced independence: a representation-theoretic approach ⋮ Shuffle algebras and non-commutative probability for pairs of faces ⋮ The monotone cumulants ⋮ Traffic distributions and independence. II: Universal constructions for traffic spaces ⋮ V-monotone independence ⋮ Traffic distributions of random band matrices ⋮ The Lévy-Itô decomposition in free probability ⋮ Remarks on the \(r\) and \(\Delta\) convolutions ⋮ Schoenberg correspondence on dual groups ⋮ Noncommutative stochastic integration through decoupling ⋮ Boolean convolutions and regular variation ⋮ Haar states and Lévy processes on the unitary dual group ⋮ Conditionally monotone independence and the associated products of graphs ⋮ An asymptotic property of large matrices with identically distributed Boolean independent entries ⋮ Noncommutative independence from the braid group \({\mathbb{B}_{\infty}}\) ⋮ Unnamed Item ⋮ Monotone cumulant-moment formula and Schröder trees ⋮ Categorial independence and Lévy processes ⋮ Classification and GNS-construction for general universal products ⋮ Quantum Lévy processes on dual groups ⋮ Algebraic central limit theorems: A personal view on one of Wilhelm’s legacies ⋮ Some thoughts on Wilhelm von Waldenfels and on universal second order constructions
This page was built for publication: Non-commutative notions of stochastic independence
