Seminarium:
Teoria prawdopodobieństwa i modelowanie stochastyczne
Osoba referująca:
prof. Zbigniew J. Jurek (Uniwersytet Wrocławski)
Data:
czwartek, 25. Październik 2018 - 12:15
Sala:
602
Opis:
We study two ways (levels) of finding free-probability analogue of classical infinite divisible measures. More precisely, we identify their Voiculescu transforms. For free - selfdecomposable Voiculescu transform we found the formula (a differential equation) for their background driving transforms.
We illustrate our methods on the selfdecomposable hyperbolic characteristic functions. As a by-product our approach potentially may produce new formulas for definite integrals of some special functions.
(cf. www.arXiv:1707.02540v1 [math.PR])