Christian Mönch

collaborators

3 papers

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

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

Christian MÃ¶nch, 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.CO2025

A very short proof of Sidorenko's inequality for counts of homomorphism between graphs

Lukas LÃ¼chtrath, Christian MÃ¶nch

We provide a very elementary proof of a classical extremality result due to Sidorenko (Discrete Math. 131.1-3, 1994), which states that among all connected graphs $G$ on $k$ vertic…

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

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

A very short proof of Sidorenko's inequality for counts of homomorphism between graphs

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