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Christian Hirsch: On the topology of higher-order age-dependent random connection models

Time: Tue 2023-11-21 10.15

Location: 3418

Video link: Meeting ID: 632 2469 3290

Participating: Christian Hirsch (Aarhus)

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Preferential attachment is a popular mechanism for generating scale-free networks. While it offers a compelling narrative, the underlying reinforced processes make it difficult to rigorously establish subtle properties. Recently, age-dependent random connection models were proposed as an alternative that is capable of generating similar networks with a mechanism that is amenable to a more refined analysis. In this talk, we analyze the asymptotic behavior of higher-order topological characteristics such as higher-order degree distributions and Betti numbers in large domains. We demonstrate the practical application of the theoretical results to real-world datasets by analyzing scientific collaboration networks based on data from arXiv. This talk is based on joint work with Péter Juhász.