On the Brown measure of $x+iy$, with $x,y$ selfadjoint and $y$ free Poisson

Franz Lehner, Alexandru Nica, Kamil Szpojankowski +1

Let $x,y$ be freely independent selfadjoint elements in a $W^{\ast }$-probability space, where $y$ has free Poisson distribution of parameter $p$. We pursue a methodology for computing…