Gaussian measures in Urbanik's sense and a characterization theorem for abelian groups

G. Fel'dman

Displaying similar documents to “Gaussian measures in Urbanik's sense and a characterization theorem for abelian groups”

The Pólya characterization of a Gaussian measure on groups

G. Fel'dman (1987)

Studia Mathematica

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On Urbanik's characterization of Gaussian measures on locally compact abelian groups

G. Feldman (1982)

Studia Mathematica

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Limit distributions of many-particle spectra and q-deformed Gaussian variables

Piotr Śniady (2006)

Banach Center Publications

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We find the limit distributions for a spectrum of a system of n particles governed by a k-body interaction. The hamiltonian of this system is modelled by a Gaussian random matrix. We show that the limit distribution is a q-deformed Gaussian distribution with the deformation parameter q depending on the fraction k/√n. The family of q-deformed Gaussian distributions include the Gaussian distribution and the semicircular law; therefore our result is a generalization of the results of Wigner...