V-monotone independence

Dyskretna analiza harmoniczna i niekomutatywna probabilistyka
Osoba referująca: 
Adrian Dacko (Politechnika Wrocławska)
Data spotkania seminaryjnego: 
czwartek, 11. Październik 2018 - 10:15
We introduce and study a new notion of noncommutative independence, called V-monotone independence, which generalizes the monotone independence of Muraki. We investigate the combinatorics of mixed moments of V-monotone random variables and prove the central limit theorem. We obtain a combinatorial formula for the limit moments and we find the solution of the differential equation for the moment generating function in the implicit form.