Approximation of a free Poisson process by systems of freely independent particles

Marek Bożejko, José Luís da Silva, Tobias Kuna +1

Let $\sigma$ be a non-atomic, infinite Radon measure on ${\mathbb{R}}^d$, for example, $d\sigma (x)=zdx$ where $z>0$. We consider a system of freely independent particles $x_1,\dots ,x_N$ in a…