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Oct 10, 2021 at 5:17 comment added Sam Weisenthal @Alexis I am not sure actually, I wrote this so long ago. I guess if there exists some initial distribution such that it doesn't converge to steady state from that distribution, then it cannot be ergodic. I can reread the chapter I referenced, or possibly develop another more rigorous answer soon.
Oct 9, 2021 at 22:16 comment added Alexis Your first sentence does not jibe well with the "eventually visits all parts of a sample space" meaning of "ergodic" to my intuition. The second sentence nails it though. Can you help connect the two sentences for me?
May 9, 2018 at 19:41 history edited Nick Cox CC BY-SA 4.0
edited body
S May 7, 2018 at 18:52 history edited Sam Weisenthal CC BY-SA 4.0
The above sufficient condition is likely to mean "in one step"
S May 7, 2018 at 18:52 history suggested user12075 CC BY-SA 4.0
The above sufficient condition is likely to mean "in one step"
May 7, 2018 at 18:36 review Suggested edits
S May 7, 2018 at 18:52
May 7, 2018 at 17:07 comment added Emil I wonder if it might be necessary to add "in finite time" after the nonzero probability part. Even if the chain is made of recurrent states, these states still need to be positive recurrent, no?
May 7, 2018 at 16:16 history answered Sam Weisenthal CC BY-SA 4.0