Permanental fields, loop soups and continuous additive functionals

Yves Le Jan, Michael B. Marcus, Jay Rosen

A permanental field, $\psi =\{\psi (\nu ),\nu \in \mathcal{V}\}$, is a particular stochastic process indexed by a space of measures on a set $S$. It is determined by a kernel $u(x,y)$, $x,y\in…