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Trying to clear this up in a paper I’m currently drafting. The ergodicity assumption isn’t even a problem, in and of itself, over and above the limitations of representing organismal dynamics within a finite state space.
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You can be finite and still not be ergodic - this reversible cellular automaton, for example, is ergodic but probably only on time scales comparable to the lifetime of the universe.pic.twitter.com/qQmSKfBFPz
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