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Re:What is ergodicity? (2016) by cs702 on Wednesday June 26, 2019 @11:31AM (#20285963)
In addition to the paper and Twitter thread mentioned by fasteo elsewhere on this thread[a], this video of a lecture by the author is well-worth watching too:

https://www.youtube.com/watch?v=f1vXAHGIpfc

Among other things, in this lecture the author shows, step by step, in non-technical language, an example with coin tosses in which changes in wealth are non-ergodic (in the sense he explains), such that the expected value of winnings over time is not informative of the time average growth rate of wealth.

[a] https://news.ycombinator.com/item?id=20285638

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