A Markov Chain describes a sequence of states where the probability of transitioning from states depends only on the current state. In this github repo, I create a transition matrix for a 5-node network system, show below, to model foot traffic in 3-hr time steps beginning from an equally likelihood distribution v = (0.2, 0.2, 0.2, 0.2, 0.2).
The gif below shows the decay of the system to the static distribution (0.15, 0.04, 0.26, 0.43, 0.12). The R code for simulating the Markov Chain and creating the visualizations is provided here in this repo.
