I have $M$ identical particles which each have $K$ states. They each evolve independently in Markov chains with transition probability matrix $\pi$. My question is if I want to look at the populations of each of the $K$ states rather than the states directly, then how does the transition matrix for the populations relate to $\pi$?
2026-02-23 08:22:57.1771834977
Relationship between state transitions and population transitions
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