Given $\{0,1\}^{\Bbb N}$ with left shift $\phi$, product topology and Borel algebra, it's easy to verify that there is an ergodic probability measure corresponding to each probability vector $(p, q)$ and to each periodic orbit of the left shift. Are there any other ergodic measures that are (relatively) simple to describe? I've seen a few constructions with some really horrible looking conditional measure stuff that I didn't really follow. References are welcome as well!
2026-03-28 14:55:27.1774709727
Left shift invariant ergodic measures not supported on a periodic orbit
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