From discrete to continuous monotone C*-algebras via quantum central limit theorems
DOI10.1142/S0219025717500138zbMath1366.60062arXiv1612.09414OpenAlexW2570210661MaRDI QIDQ5276035
Francesco Fidaleo, Vitonofrio Crismale, Yun Gang Lu
Publication date: 14 July 2017
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.09414
central limit theorems\(C^\ast\)-algebrasnoncommutative probabilitymonotone and anti-monotone commutation relations
Central limit and other weak theorems (60F05) Noncommutative probability and statistics (46L53) Probability theory on algebraic and topological structures (60B99)
Related Items (4)
Cites Work
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- Noncommutative Brownian motion in monotone Fock space
- On the enumeration and generation of generalized Dyck words
- Limits of some weighted Cesaro averages
- Exchangeable stochastic processes and symmetric states in quantum probability
- Sur les partitions non croisées d'un cycle. (The non-crossed partitions of a cycle)
- GAUSSIAN TYPE INTERACTING FOCK SPACES
- SINGLETON CONDITIONS AND QUANTUM DE FINETTI'S THEOREM
- An algebraic central limit theorem in the anti-commuting case
- Notions of Independence Related to the Free Group
- The free creation and annihilation operators as the central limit of the quantum Bernoulli process
- On the interacting Free Fock space and the deformed Wigner law
- MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS
- Ergodic theorems in quantum probability: an application to the monotone stochastic processes
- ROTATION INVARIANT INTERACTING FOCK SPACES
- Symmetries and ergodic properties in quantum probability
- A quantum-mechanical central limit theorem
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