19 citations · 113 across the 18 of their papers we have counts for
4 papers · 1 filter
The Free Tangent Law
Wiktor Ejsmont, Franz Lehner
Nevanlinna-Herglotz functions play a fundamental role for the study of infinitely divisible distributions in free probability. In the present paper we study the role of the tangent…
Sums of Commutators in Free Probability
Wiktor Ejsmont, Franz Lehner
We study the linear span of commutators of free random variables and show that these are the only quadratic forms which satisfy the following equivalent properties: * preservation…
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…
Convolution, subordination and characterization problems in noncommutative probability
Wiktor Ejsmont, Uwe Franz, Kamil Szpojankowski
Characterization problems in free probability are studied here. Using subordination of free additive and free multiplicative convolutions we generalize some known characterizations…