2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.PR2022★ 2 cited
Finiteness of the percolation threshold for inhomogeneous long-range models in one dimension
Peter Gracar, Lukas Lüchtrath, Christian Mönch
We consider inhomogeneous spatial random graphs on the real line. Each vertex carries an i.i.d. weight and edges are drawn such that short edges and edges to vertices with large we…
math.PR2020
Percolation phase transition in weight-dependent random connection models
Peter Gracar, Lukas Lüchtrath, Peter Mörters
We investigate spatial random graphs defined on the points of a Poisson process in -dimensional space, which combine scale-free degree distributions and long-range effects. Ever…
math.PR2019
Preferential attachment with location-based choice: Degree distribution in the noncondensation phase
Arne Grauer, Lukas Lüchtrath, Mark Yarrow
We consider the preferential attachment model with location-based choice introduced by Haslegrave, Jordan and Yarrow as a model in which condensation phenomena can occur [Haslegrav…