Remarks on Wigner’s semicircle law

• Authors: Ejsmont Wiktor
• Languages of publication: EN

Abstracts

EN

Ejsmont [2014] has shown that families of free Meixner distributions can be characterized by the conditional moments of polynomial functions of degree 3. In this paper, we will give other characterizations of the free normal distribution which are formulated in a similar spirit.

Keywords

EN

Wigner’s semicircle law; conditional expectation; free cumulants; Laha-Lukacs theorem; noncommutative regression

• Publisher: Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
• Journal: Didactics of Mathematics
• Year: 2015
• Issue: 12(16)
• Pages: 55-60

Contributors

author

Ejsmont Wiktor

References

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