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Universität Augsburg
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Universität Augsburg
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Dr. Dominik Pabst
Ulm
spricht am
Montag, 16. November 2026
um
11:45 Uhr
im
Raum 3008 (L1)
über das Thema:
| Abstract: |
| In comparison to graphs, simplicial complexes also allow the modeling of interactions between more than two objects that go beyond pairwise interactions. We introduce a new model of random simplicial complexes based on the random connection model. This model provides a general framework for investigating a wide range of questions typically studied in the literature on random graphs and random simplicial complexes. In this talk, we present a central limit theorem for a broad class of functionals within this framework, which includes the Betti numbers describing the topological structure of simplicial complexes. Moreover, the model can be constructed in such a way that the resulting simplicial complex has the same topological properties as the Boolean model. This allows the central limit theorem to be transferred directly to the Betti numbers of the Boolean model. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Markus Heydenreich |