CONSTRUCTIVE UNIVERSAL CENTRAL LIMIT THEOREMS BASED ON INTERACTING FOCK SPACES
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Publication:5714724
DOI10.1142/S021902570500213XzbMath1079.60501OpenAlexW1994612776MaRDI QIDQ5714724
Vitonofrio Crismale, Yun Gang Lu, Luigi Accardi
Publication date: 15 December 2005
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/s021902570500213x
Noncommutative probability and statistics (46L53) Probability theory on algebraic and topological structures (60B99)
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ROTATION INVARIANT INTERACTING FOCK SPACES ⋮ A noncommutative extended de Finetti theorem ⋮ The quantum moment problem for a classical random variable and a classification of interacting Fock spaces ⋮ Limits of some weighted Cesaro averages ⋮ Quantum stochastic integral representations on interacting Fock space ⋮ On truncated \(t\)-free Fock spaces: spectrum of position operators and shift-invariant states ⋮ Dynamics of an atom cavity field system in interacting Fock space ⋮ CONVOLUTION AND CENTRAL LIMIT THEOREM ARISING FROM ADDITION OF FIELD OPERATORS IN ONE-MODE TYPE INTERACTING FOCK SPACES ⋮ NONCLASSICAL STATES IN INTERACTING FOCK SPACE ⋮ The qq-bit (I): Central limits with left q-Jordan–Wigner embeddings, monotone interacting Fock space, Azema random variable, probabilistic meaning of q ⋮ INTERACTING FOCK SPACES AND THE MOMENTS OF THE LIMIT DISTRIBUTIONS FOR QUANTUM RANDOM WALKS
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