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.
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.