Episode 27a: Critical masses and triggering components
Summary:
We sink our teeth into threshold model of contagion on random networks. Nom, nom. We first recap Watts's basic network model and Granovetter's classic mean-field version. We then see how the two models are connected in the right limits, and focus in on the robust-yet-fragile story for what amount to critical mass type models in the mean-field version. We use generating function techniques to find the size of the giant component of vulnerable nodes, giving us the possibility that a global spreading event could occur, and we find the probabilty such an event is triggered by a single random seed.
Asides:
Bill Walton, tarot card updates, Great Point-Coatue mission on Nantucket with bonus seals, periodic table of advice animals, memes, and the use of ragdoll cats as bowling balls.
Extra:
Always good to turn on the video recording at the start.
Date:
2016/03/29
Duration:
1:16:54
2016/03/29
1:16:54
Tweet:
Extra:
Always good to turn on the video recording at the start.