Sums of Commutators in Free Probability

Seminarium: 
Dyskretna analiza harmoniczna i niekomutatywna probabilistyka
Osoba referująca: 
Franz Lehner (TU Graz)
Data: 
czwartek, 29. Marzec 2018 - 10:50
Sala: 
604
Opis: 
In joint work with W. Ejsmont we investigate distributions of quadratic forms in free random variables. This time we show that the following conditions are equivalent for such a quadratic form:
1. it exhibits the phenomenon of cancellation of free cumulants
2. it preserves infinite divisibility
3. it can be written as a sum of commutators.
The proof relies on the combinatorics of noncrossing cumulants.