AATRN Networks seminar today, February 4 at 5pm CET by Chunyin Siu

[AATRN Networks]

Dear AATRN Networks members,



Speaker: Chunyin Siu

Title: Homology and Homotopy Properties of Scale-Free Networks.

Abstract: Many real-world networks are believed to be scale-free. We study the random model of preferential attachment for such networks. Our results show that preferential attachment favors higher-order connectivity, in the sense that it drives the growth of Betti numbers in the finite-graph setting, and it annihilates homotopy groups in the infinite-graph setting. More precisely, we determined the high-probability growth rates of the Betti numbers of the clique complexes of finite preferential attachment graphs, as well as the sharp threshold at which the infinite clique complex becomes homotopy-connected almost surely. This is joint work with Gennady Samorodnitsky, Christina Lee Yu, and Rongyi He. The talk is based on the preprints [https://arxiv.org/abs/2305.11259] and [https://arxiv.org/abs/2406.17619].

We will meet in the following coordinates:

https://stockholmuniversity.zoom.us/j/65622268279?pwd=YUsxeGNEeEFKRDFsaTRzRzh2VVMzQT09
Meeting ID: 656 2226 8279
Passcode: 557173

Our seminar occurs on the first Tuesday of every month, and you can follow our future planned list of speakers in our website sites.google.com/view/aatrn-networks-seminar .

You may also be interested in adding AATRN’s Google calendar ( link ), which contains other seminar information.

Best,

The AATRN Networks organizers
Daniela Egas Santander, Henri Riihimäki, Jason Smith