Limit theorems for Betti numbers and other features in the multiparameter random simplicial complexes

par Gennady Samorodnitsky

mardi 21 mai 2024, 09:50 → 10:50 Europe/Paris

Amphi Schwartz (IMT)

The multiparameter random simplicial complexes are generalizations of the Erdős–Rényi random graphs that allow higher-dimensional interactions. They also have rich topological structure. In this talk we discuss recently obtained limit theorems (laws of large numbers, central limit theorems and large deviations) for topological invariants (particularly, Betti numbers) in this model.