Consensus and Random Walk on Hypergraphs
- Date: Tuesday 31 January 2023, 12:00 – 13:00
- Location: Mathematics Level 8, MALL 1, School of Mathematics
- Type: Leeds Applied Nonlinear Dynamics, Seminars, Applied Mathematics
- Cost: Free
Renaud Lambiotte, University of Oxford. Part of the Leeds Applied Nonlinear Dynamics seminar series.
Speaker: Renaud Lambiotte, University of Oxford
Title: Consensus and Random Walk on Hypergraphs
Abstract: Diffusive processes play a central role in network science, first as a model for a variety of spreading processes but also as a way to extract information from the structure of networks, e.g. via community detection or embeddings. In this talk, I will discuss some recent works where one considers diffusion on hypergraphs to explore similar questions. I will first consider models for group dynamics, discussing the importance of non-linearity to reveal the importance of multi-body interactions, before turning to the problem of projecting hyper graphs on graphs with community detection as an objective.