Hosts: prof. dr hab. Ryszard Szekli, prof. dr hab. Krzysztof Dębicki

Contact: dr Michał Krawiec (secretary), michal.krawiec at math.uni.wroc.pl

Current activity:

The seminar takes place once a week, on Thursdays from 12:15 - 14:00 in the form of a stationary meeting in room 603 (Mathematical Institute, UWr) or an online meeting on the Zoom platform. All current and more detailed information can be obtained from the seminar secretary.

Next seminar: 2024-11-28, 12:15 - 14:00

Dr Nikolai Kriukov (University of Amsterdam)

Functional Central Limit Theorem for the simultaneous subgraph count of dynamic Erdős-Rényi random graphs

Abstract:
In this talk we consider a dynamic Erdős-Rényi random graph with independent identically distributed edge processes. Our goal is to describe the joint evolution of count of different subgraphs. Central result of this talk is joint functional convergence of the subgraph counts to a specific multidimensional Gaussian process, which holds under mild assumptions on the edge processes, most notably a Lipschitz-type condition.