This paper is devoted to quantization of the free Poisson central limit theorem. We construct a sequence of free independent binomial random variables on an interacting Fock space in terms of creation–annihilation operators. By using these random variables, one studies a quantization of the free Poisson central limit theorem with respect to the convergence both in mixed–moments and in law.
Quantization of the Free Poisson Central Limit Theorem
Yungang Lu
2022-01-01
Abstract
This paper is devoted to quantization of the free Poisson central limit theorem. We construct a sequence of free independent binomial random variables on an interacting Fock space in terms of creation–annihilation operators. By using these random variables, one studies a quantization of the free Poisson central limit theorem with respect to the convergence both in mixed–moments and in law.File in questo prodotto:
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Quantization of the Free Poisson Central Limit Theorem.pdf
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