Analysis of generalized Poisson distributions associated with higher Landau levels

DOI10.1142/S0219025715500289zbMath1333.81454arXiv1110.1110OpenAlexW2963442349MaRDI QIDQ2790333

Zouhaïr Mouayn, Nizar Demni

Publication date: 3 March 2016

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

Full work available at URL: https://arxiv.org/abs/1110.1110

zbMATH Keywords

Laguerre polynomialsgeneralized Poisson distributionshigher Landau levelsquasi-infinitely divisible

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Quantum optics (81V80) Many-body theory; quantum Hall effect (81V70) Distribution theory (60E99)

Related Items (13)

Quasi-infinite divisibility of a class of distributions with discrete part ⋮ A Cramér-Wold device for infinite divisibility of \(\mathbb{Z}^d \)-valued distributions ⋮ Analysis of generalized negative binomial distributions attached to hyperbolic Landau levels ⋮ On weak convergence of quasi-infinitely divisible laws ⋮ On quasi-infinitely divisible random measures ⋮ Quasi-infinite divisibility and three-point probability laws ⋮ Spectral representations of characteristic functions of discrete probability laws ⋮ On convergence and compactness in variation with a shift of discrete probability laws ⋮ On quasi-infinitely divisible distributions ⋮ Spectral representations of quasi-infinitely divisible processes ⋮ Generalized Wehrl entropies and Euclidean Landau levels ⋮ Compactness criteria for quasi-infinitely divisible distributions on the integers ⋮ On multivariate quasi-infinitely divisible distributions

Cites Work

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• PROBABILITY DISTRIBUTIONS ATTACHED TO GENERALIZED BARGMANN–FOCK SPACES IN THE COMPLEX PLANE
• Espaces de Bargmann généralisés et formules explicites pour leurs noyaux reproduisants

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