32 citations · 35 across the 11 of their papers we have counts for
4 papers · 1 filter
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…
Local structure at the maximum and sharp persistence asymptotics of rough fractional Brownian motion
Christian Mönch
We consider a fractional Brownian motion with Hurst index , and its maximiser on . We show that the rescaled process converges…
(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on , , and ,
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…
Partial orders and monotonicity of logarithmic depth and height in preferential attachment trees
Christian Mönch
We study preferential attachment trees with general attachment rules. A natural intuition is that rewarding high-degree vertices more strongly should make the tree shallower. We te…