Non-commutative independence of algebras and applications to probability

DOI10.7153/OAM-04-28zbMATH Open1219.46056OpenAlexW2312820960MaRDI QIDQ3068958

Janusz Wysoczański

Publication date: 21 January 2011

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/abstracts/oam-04-28-abs.pdf

zbMATH Keywords

central limit theoremquantum probabilityfree independenceBoolean independencemonotone independencenoncommutative probabilitybm-independence

Mathematics Subject Classification ID

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

Related Items (8)

Non-commutative stochastic independence and cumulants ⋮ Non-commutative notions of stochastic independence ⋮ The noncommutativity of random and generic extensions ⋮ V-monotone independence ⋮ NONCOMMUTATIVE BROWNIAN MOTIONS INDEXED BY PARTIALLY ORDERED SETS ⋮ Unnamed Item ⋮ Huffman algebras for independent random variables ⋮ Noncommutative analogs of probabilistic notions and results

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