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math.FA2018
Poisson type operators on the Fock space of type B and in the Blitvi{ć} model
Wiktor Ejsmont
In \cite{Bia97} Biane proposed a new statistic on set partitions which he called \emph{restricted crossings}. In a series of papers \cite{Ans01,Ans04,Ans04b,Ans05} Anshelevich show…
math.PR2018★ 3 cited
Type B Gaussian Statistics as Noncommutative Central Limits
Natasha Blitvić, Wiktor Ejsmont
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,…