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math.PR2024
Poisson approximation of large-lifetime cycles
Christian Hirsch, Nikolaj Nyvold Lundbye, Moritz Otto
In topological data analysis, the notions of persistent homology, birthtime, lifetime, and deathtime are used to assign and capture relevant cycles (i.e., topological features) of…
math.PR2024
Random Connection Hypergraphs
Morten Brun, Christian Hirsch, Peter Juhasz +1
In this paper, we introduce a novel model for random hypergraphs based on weighted random connection models. In accordance with the standard theory for hypergraphs, this model is c…