15 May 2016
This post assumes basic understanding of neurons. For a short introduction to neurons please see this Wikipedia article. There are multiple existing models for biological neurons, some which even contradict each other. In this post we explore the leaky-integrate and fire neuron model (LIF) which is commonly used in simulations...
29 Apr 2016
This part 2 in the series on percolation with inhbition. If you have not yet read part 1 you can find it here. In this post we will try to get an intuition for how many vertices eventually turn active in the process. Let us assume that we have vertices...
25 Apr 2016
In the previous posts we have discussed synchronous and asynchronous bootstrap percolation, processes which model the dissemination of information in a graph. In these previous models we only studied vertices which could excite their neighbours. This is a good basic model for the spread of diseases or gossip. However in...
08 Apr 2016
In the previous post we discussed bootstrap percolation, a process which models the dissemination of information in a graph. In this post we will see a slight variation of the process. Percolation is traditionally defined to be round based. However, in reality processes such as rumor spreading, disease transmission and...
27 Mar 2016
If you have ever heard about percolation it might have been in the context of making coffee. That is, when brewing by filtering water through grinded coffee beans it is a desireable feature that the water can eventually pass through. Consequently the particles need to be large enough for the...