NONCOMMUTATIVE BROWNIAN MOTIONS INDEXED BY PARTIALLY ORDERED SETS

DOI10.1142/S021902571000419XzbMath1225.46047OpenAlexW2074741287MaRDI QIDQ3070065

Janusz Wysoczański, Anna Kula

Publication date: 2 February 2011

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

Full work available at URL: https://doi.org/10.1142/s021902571000419x

zbMATH Keywords

Brownian motioncentral limit theorempositive conespartially ordered setsbm-independencebm-Fock spaceLorentz light cone

Mathematics Subject Classification ID

Noncommutative probability and statistics (46L53)

Related Items

New characterization of two-state normal distribution ⋮ Noncommutative Lévy processes for generalized (particularly anyon) statistics ⋮ Distributions for nonsymmetric monotone and weakly monotone position operators ⋮ Fock space associated to Coxeter groups of type B ⋮ bm-Central Limit Theorems associated with non-symmetric positive cones ⋮ Unnamed Item

Cites Work

• Unnamed Item
• An example of a generalized Brownian motion
• A non-commutative central limit theorem
• Unification of Fermion and Boson stochastic calculus
• A new example of `independence' and `white noise'
• Noncommutative Brownian motion in monotone Fock space
• Convolution and limit theorems for conditionally free random variables
• Spherical and hyperbolic fractional Brownian motion
• bm-INDEPENDENCE AND bm-CENTRAL LIMIT THEOREMS ASSOCIATED WITH SYMMETRIC CONES
• MONOTONIC INDEPENDENCE ASSOCIATED WITH PARTIALLY ORDERED SETS
• BM-CENTRAL LIMIT THEOREMS FOR POSITIVE DEFINITE REAL SYMMETRIC MATRICES
• MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS

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