1 citations · 2 across the 12 of their papers we have counts for
5 papers · 2 filters
Extremes of the zero-average Gaussian Free Field on random regular graphs
Lisa Hartung, Andreas Klippel, Christian Mönch
We study the extreme value statistics of the zero-average Gaussian free field (GFF) on random -regular graphs and the Gaussian free field on -regular trees. For random -re…
Strict monotonicity of critical points in independent long-range percolation models
Stein Andreas Bethuelsen, Christian Mönch
We consider independent long-range percolation models on locally finite vertex-transitive graphs. Using coupling ideas we prove strict monotonicity of the critical points with resp…
Phase transitions for contact processes on sparse random graphs via metastability and local limits
Benedikt Jahnel, Lukas Lüchtrath, Christian Mönch
We propose a new perspective on the asymptotic regimes of fast and slow extinction in the contact process on locally converging sequences of sparse finite graphs. We characterise t…
Loop vs. Bernoulli percolation on trees: strict inequality of critical values
Andreas Klippel, Benjamin Lees, Christian Mönch
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…
Phase transitions for contact processes on one-dimensional networks
Benedikt Jahnel, Lukas Lüchtrath, Christian Mönch
We study the survival/extinction phase transition for contact processes with quenched disorder. The disorder is given by a locally finite random graph with vertices indexed by the…