Quantum Central Limit Theorems

Romuald Lenczewski ()
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Romuald Lenczewski: Politechnika Wroclawska, Hugo Steinhaus Center for Stochastic Methods Instytut Matematyki

A chapter in Symmetries in Science VIII, 1995, pp 299-314 from Springer

Abstract: Abstract This work is a review of certain quantum limit theorems that may be viewed as non-commutative versions of the classical central limit theorem. Since various kinds of independences can be introduced in quantum probability, there are many quantum versions of this fundamental result in classical probability. We concentrate here only on various algebraic approaches and even within this scope we do not give a complete survey of the vast literature on the subject.

Keywords: Central Limit Theorem; Quantum Group; Free Product; Annihilation Operator; Generalize Creation (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-1915-7_22

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DOI: 10.1007/978-1-4615-1915-7_22

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