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math.PR2025
Functional limit theorems for edge counts in dynamic random connection hypergraphs
Christian Hirsch, Benedikt Jahnel, Péter Juhász
We introduce a dynamic random hypergraph model constructed from a bipartite graph. In this model, both vertex sets of the bipartite graph are generated by marked Poisson point proc…
math.PR2023
Poisson approximation of fixed-degree nodes in weighted random connection models
Christian Hirsch, Benedikt Jahnel, Sanjoy Kumar Jhawar +1
We present a process-level Poisson-approximation result for the degree-k vertices in a high-density weighted random connection model with preferential-attachment kernel in the unit…