CUMULANTS IN NONCOMMUTATIVE PROBABILITY THEORY III: CREATION AND ANNIHILATION OPERATORS ON FOCK SPACES
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Publication:5708779
DOI10.1142/S0219025705002049zbMath1091.46042arXivmath/0210444MaRDI QIDQ5708779
Publication date: 21 November 2005
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0210444
Free probability and free operator algebras (46L54) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Noncommutative probability and statistics (46L53) Exchangeability for stochastic processes (60G09)
Related Items (4)
A noncommutative extended de Finetti theorem ⋮ COMBINATORIAL RELATION BETWEEN FREE CUMULANTS AND JACOBI PARAMETERS ⋮ Cumulants, spreadability and the Campbell-Baker-Hausdorff series ⋮ Noncommutative Lévy processes for generalized (particularly anyon) statistics
Cites Work
- Addition of certain non-commuting random variables
- Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
- Some properties of crossings and partitions
- Cumulants in noncommutative probability theory. II: Generalized Gaussian random variables
- The cycle-path indicator polynomial of a digraph
- Generalised Brownian motion and second quantisation
- A one-parameter family of transforms, linearizing convolution laws for probability distributions
- Functors of white noise associated to characters of the infinite symmetric group
- Variations sur le thème \({E+\overline {E} = XY}\) (Variations on the theme \({E+\overline {E} = XY})\)
- On the cover polynomial of a digraph
- Crossings and embracings of set-partitions and \(q\)-analogues of the logarithm of the Fourier transform
- Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
- Crossings of Set-Partitions and Addition Crossings of Graded-Independent Random Variables
- Parastochastics
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