Discipline: 
Mathematics
Status: 
Available
Level: 
PhD Project
Level: 
Masters Project
Supervisor(s): 
Dr Thomas Taimre

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.