Dynamic Spatial Network Models
Project level: PhD, Masters
Random networks are often modelled without reference the particular space which they inhabit. There is some work in this area (for example Penrose’s Random Geometric Graphs), but there is a scope to go beyond the largely static existing models. In addition, from a purely mathematical point of view, growing graphs on manifolds is a very interesting problem. In this project, you will investigate the state-of-the-art models for spatial networks; especially through simulation with a view to macroscopic properties. You will also investigate model extensions and application to new spaces and structures. Background in probability, stochastic processes, and geometry is ideal.