Re:Ergodicity, What's It Mean
by joe_the_user on Sunday April 04, 2021 @03:08PM
(#26691976)
I think the article is correct that the system isn't ergodic, because it's not "mixing". A given typical trajectory won't get close to every potential point. Most go to the bottom and few go to the top - basically the point of the article.
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Re:Ergodicity, What's It Mean
by contravariant on Sunday April 04, 2021 @07:07PM
(#26693618)
The fact that it's biased is irrelevant. The question whether it will get close to any point is quite complicated, though with it being essentially a random walk with drift the chance that will get above its initial point is probably less than 1.
This's got nothing to do with ergodic theory though, but feel free to use that word in whatever weird distorted way you like, I literally can't seem to stop you.