Kauffman defines an ergodic system as one that “visits all its possible states over some 'reasonable' time period.“ (p. 4). This definition is too rough. Living systems only visit restricted regions of their state spaces, which is compatible with ergodicity.https://twitter.com/evantthompson/status/1125768470665125888 …
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I think it depends on how you define “behavior“ (and average behavior). At least for general properties, such as body core temperature in the case of human beings, the sample mean and the long-term average will be the same, won't they?
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