(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on ${\mathbb{Z}}^d$, $d>4$, and ${\mathbb{T}}_d$,$d\ge 3$

Volker Betz, Alexander Drewitz, Andreas Klippel +1

In this article we investigate the (non)-coincidence of critical parameters for various related percolation problems. More precisely, for the random walk loop soup we show that on…