The Boolean quadratic forms and tangent law . (część II)

Dyskretna analiza harmoniczna i niekomutatywna probabilistyka
Osoba referująca: 
Patrycja Hęćka (Politechnika Wrocławska)
czwartek, 30. Marzec 2023 - 10:15
I will talk about the limit of weighted sums of Boolean commutators and anticommutators and I will show that the shifted generalized tangent function appears in a limit theorem. In the way of proof I will present a formula for the Boolean cumulants of quadratic forms which exhibits an interesting connection to the isomorphism between interval partitions of r+1 elements with special kind of interval partitions of 2r points. I will show that this result can be apply to obtain a several theorems about quadratic forms in the Boolean probability theory.