School of Mathematical Sciences

Networks of Brownian walkers and link existence times menu

Networks of Brownian walkers and link existence times

Speaker: 
Oliver Williams
Date/Time: 
Wed, 23/03/2016 - 12:00
Room: 
203/410

Modelling the motion of agents in a system as random walks is often a useful approximation. Modelling a set of agents that are in some sense connected as a network is also useful in a number of settings (such as modelling the spread of diseases). Given some notion of this ‘connectedness’ between random walkers we can attempt to create a network, and hopefully gain some insight into the system we are modelling from its properties and how they change over time. I will attempt to show how a network of such Brownian walkers can be formed and improved, then show how long one might expect some properties of the network to persist for.