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20122023
most citedNoncommutative probability of type D

19 citations · 113 across the 18 of their papers we have counts for

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math.FA2016★ 19 cited

Noncommutative probability of type D

Marek Bożejko, Wiktor Ejsmont, Takahiro Hasebe

We construct a deformed Fock space and a Brownian motion coming from Coxeter groups of type D. The construction is analogous to that of the -Fock space (of type A) and the $(α,q…

math.OA2016★ 10 cited

Sample Variance in Free Probability

Wiktor Ejsmont, Franz Lehner

Let denote i.i.d.~centered standard normal random variables, then the law of the sample variance is the -distribution w…

math.PR2016★ 8 cited

A Characterization of the Normal Distribution by the Independence of a Pair of Random Vectors

Wiktor Ejsmont

Kagan and Shalaevski 1967 have shown that if the random variables are independent and identically distributed and the distribution of $a_i…