Displaying similar documents to “Von Neumann's paradox with translations”

Singleton independence

Luigi Accardi, Yukihiro Hashimoto, Nobuaki Obata (1998)

Banach Center Publications

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Motivated by the central limit problem for algebraic probability spaces arising from the Haagerup states on the free group with countably infinite generators, we introduce a new notion of statistical independence in terms of inequalities rather than of usual algebraic identities. In the case of the Haagerup states the role of the Gaussian law is played by the Ullman distribution. The limit process is realized explicitly on the finite temperature Boltzmannian Fock space. Furthermore,...