Episode 127a: 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.


Covers, in part, this slide set:


037. Contagion



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