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Mar 26 at 10:26 comment added Uagi You're right, I could have been more specific. I assumed asking for a proof "as simply as possible" was clear enough, but it wasn't. I already upvoted your answer, however.
Mar 25 at 18:34 comment added Ronnie Pavlov Got it. I'd say you should give these details in the original post; there's no way for us to know what you already know and don't know and it's a bit of a waste of time to type an answer that doesn't help you! Your OP could have just said "I know several complex proofs that exact implies mixing, using K-automorphisms and martingales, but I'm looking for something direct." Also, I don't know what martingale theorem(s) you're using, but a priori I would say a proof that only uses martingales is pretty elementary! Do you have a reference? I tried to make such a proof and didn't see how to.
Mar 25 at 17:51 comment added Uagi Yeah, thanks, but you guessed exactly the point: I knew what you say, but I was searching for a more elementary proof, which I "feel" should be there...(The other proof strategy I know uses martingale theory).
Mar 25 at 17:37 history answered Ronnie Pavlov CC BY-SA 4.0