90 research outputs found

    Quantization of the Free Poisson Central Limit Theorem

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    Quantization of the Monotone Poisson Central Limit Theorem

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    Quantization of the Poisson Type Central Limit Theorem (1)

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    From discrete to continuous monotone C*-algebras via quantum central limit theorems

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    We prove that all finite joint distributions of creation and annihilation operators in monotone and anti-monotone Fock spaces can be realised as Quantum Central Limit of certain operators in a C*-algebra, at least when the test functions are Riemann integrable. Namely, the approximation is given by weighted sequences of creators and annihilators in discrete monotone C∗-algebras, the weights being related to the above cited test functions

    Limits of Some Weighted Cesaro Averages

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    We investigate the existence of the limit of some high order weighted Cesaro averages
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