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math.OA2025
On the Brown measure of , with selfadjoint and free Poisson
Franz Lehner, Alexandru Nica, Kamil Szpojankowski +1
Let be freely independent selfadjoint elements in a -probability space, where has free Poisson distribution of parameter . We pursue a methodology for computing…
math.OA2025
On some properties of free commutators with semicircular variables
Mihai Popa, Kamil Szpojankowski
We investigate commutators of free variables of the form \( i[x, s] \), where \( s \) is a semicircular element. We show that although \( s \) and \( i[x, s] \) are not free, their…