Christian Mönch

collaborators

3 papers

math.PR2026

Recurrence of strong-decay inhomogeneous long-range percolation clusters

Johannes Bäumler, Lukas Lüchtrath, Christian Mönch

We prove recurrence criteria for inhomogeneous long-range percolation in dimensions one and two. In dimension one, recurrence follows from a purely geometric scarcity condition: lo…

math.PR2026

Local structure at the maximum and sharp persistence asymptotics of rough fractional Brownian motion

Christian Mönch

We consider a fractional Brownian motion $B$ with Hurst index $0 < H < 1/2$ , and its maximiser $τ$ on $[0, 1]$ . We show that the rescaled process $a^{H} (B_{τ + \cdot / a} - B_{τ})$ converges…

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…

Recurrence of strong-decay inhomogeneous long-range percolation clusters

Local structure at the maximum and sharp persistence asymptotics of rough fractional Brownian motion

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

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