Andreas Klippel

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math.PR2026

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

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…

math.PR2026

Loop vs. Bernoulli percolation on trees: strict inequality of critical values

Andreas Klippel, Benjamin Lees, Christian MÃ¶nch

We study loop ensembles on locally finite rooted trees. The loops are induced by a Poisson process of links on the edges; the transposition-only case is the random interchange proc…

math.PR2026

Macroscopic loops in the random loop model on sparse random graphs

Andreas Klippel

We study the random loop model with crosses and bars on sparse random graphs. Our main objective is to prove the existence of macroscopic loops, in the sense that a loop visits a p…

math.PR2025

Extremes of the zero-average Gaussian Free Field on random regular graphs

Lisa Hartung, Andreas Klippel, Christian MÃ¶nch

We study the extreme value statistics of the zero-average Gaussian free field (GFF) on random $r$ -regular graphs and the Gaussian free field on $r$ -regular trees. For random $r$ -re…

(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on Zd, d>4, and Td​,d≥3

Loop vs. Bernoulli percolation on trees: strict inequality of critical values

Macroscopic loops in the random loop model on sparse random graphs

Extremes of the zero-average Gaussian Free Field on random regular graphs

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