Definition of "ergodic" [ergodic]

• Of or relating to certain systems that, given enough time, will eventually return to previously experienced state. (adjective)
• Of or relating to a process in which every sequence or sample of sufficient size is equally representative of the whole. (adjective)

Wiktionary.org : Text is available under the Creative Commons Attribution-ShareAlike License

• "The Ehrenfests (1912) paper was the first to recognize these questions, and to provide a partial answer: Assuming a certain hypothesis of Boltzmann's, which they dubbed the ergodic hypothesis, they pointed out that for an isolated system the micro-canonical distribution is the unique stationary probability distribution."
• "That this was so became known as the ergodic hypothesis."
• "A good proof is a key that can unlock understanding, but this proof was long and complicated and used a difficult branch of math called ergodic theory."