Consensus and Random Walk on Hypergraphs

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.