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Type B Gaussian Statistics as Noncommutative Central Limits
Natasha Blitvić, Wiktor Ejsmont · 2018-07-10 · via math.PR updates on arXiv.org

We show that the noncommutative central limit theorem of Speicher can be adapted to produce the Gaussian statistics associated to Coxeter groups of type B, in the sense of Bożejko, Ejsmont, and Hasebe. Specifically, we show how type B Gaussian statistics naturally arise in systems of 'mixed spins', providing a new application of Speicher's argument and paving the way for the transfer of known results from the bosonic/fermionic settings to such broader contexts.

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