Every invertible mixing probability-preserving transformation is mixing of every finite order: for any k≥3 measurable sets, their translated intersection tends to the product of their measures as successive time gaps diverge.
Every invertible mixing probability-preserving transformation is mixing of every finite order: for any k≥3 measurable sets, their translated intersection tends to the product of their measures as successive time gaps diverge.
Every invertible mixing probability-preserving transformation is mixing of every finite order: for any k≥3 measurable sets, their translated intersection tends to the product of their measures as successive time gaps diverge.
If correct, answers Rokhlin’s longstanding multiple-mixing problem for a single invertible transformation.
Does ordinary mixing of one invertible transformation imply mixing of every finite order?
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OpenAI reports that mixing implies all finite orders of mixing
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