A non-commutative central limit theorem
From MaRDI portal
Publication:757967
DOI10.1007/BF02570820zbMath0724.60023OpenAlexW2067781188MaRDI QIDQ757967
Publication date: 1992
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/174350
Central limit and other weak theorems (60F05) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)
Related Items (22)
Asymptotic matricial models and QWEP property for \(q\)-Araki-Woods algebras ⋮ A central limit theorem in many-body quantum dynamics ⋮ A noncommutative extended de Finetti theorem ⋮ Segal-Bargmann transform: the \(q\)-deformation ⋮ LIMIT THEOREMS IN Λ-BOOLEAN PROBABILITY ⋮ A dynamical version of the SYK model and theq-Brownian motion ⋮ Weak Edgeworth expansion for the mean-field Bose gas ⋮ Algebraic structures underlying quantum independences: theory and applications ⋮ On certain states on free *-algebras and their GNS representations ⋮ The free tangent law ⋮ Two-parameter non-commutative central limit theorem ⋮ The \((q, t)\)-Gaussian process ⋮ Multivariate central limit theorem in quantum dynamics ⋮ bm-INDEPENDENCE AND bm-CENTRAL LIMIT THEOREMS ASSOCIATED WITH SYMMETRIC CONES ⋮ NONCOMMUTATIVE BROWNIAN MOTIONS INDEXED BY PARTIALLY ORDERED SETS ⋮ bm-Central Limit Theorems associated with non-symmetric positive cones ⋮ CENTRAL LIMIT THEOREMS FOR COXETER SYSTEMS AND ARTIN SYSTEMS OF EXTRA LARGE TYPE ⋮ DISTANCE-k GRAPHS OF HYPERCUBE AND q-HERMITE POLYNOMIALS ⋮ Type B Gaussian statistics as noncommutative central limits ⋮ Generalized \(q\)-Gaussian von Neumann algebras with coefficients. I. Relative strong solidity ⋮ Permutations, Moments, Measures ⋮ Noncommutative martingale deviation and Poincaré type inequalities with applications
Cites Work
- Unnamed Item
- An example of a generalized Brownian motion
- Unification of Fermion and Boson stochastic calculus
- Quantum independent increment processes on superalgebras
- Addition of certain non-commuting random variables
- A new example of `independence' and `white noise'
- Cohomology of power sets with applications in quantum probability
- On \(O_ n\).
- Simple \(C^*\)-algebras generated by isometries
- Recurrence relations, continued fractions, and orthogonal polynomials
- An algebraic version of the central limit theorem
- An algebraic central limit theorem in the anti-commuting case
- A quantum-mechanical central limit theorem
- Quantum stochastic processes
This page was built for publication: A non-commutative central limit theorem