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math.PR2026
The voter model on the hyperbolic graph
John Fernley, Christian Hirsch
We consider the voter model on the giant component of a hyperbolic random graph, which is a spatial scale-free network, in the sparse and linear-giant regime . We find…
math.PR2026
The contact process on a bipartite spatial network
John Fernley, Christian Hirsch, Daniel Valesin
We study the contact process on a random bipartite connection hypergraph generated from two Poisson point processes, with mark-dependent connection thresholds. For asymmetric infec…
math.PR2025
Efficient Rare-Event Simulation for Random Geometric Graphs via Importance Sampling
Sarat Moka, Christian Hirsch, Volker Schmidt +1
Random geometric graphs defined on Euclidean subspaces, also called Gilbert graphs, are widely used to model spatially embedded networks across various domains. In such graphs, nod…