Family 145Dynamical systems and ergodic theoryNo LeanNot yet digested
Rokhlin’s multiple-mixing problem
Proves that every invertible mixing probability-preserving transformation is mixing of all finite orders, resolving Rokhlin's multiple-mixing problem for a single transformation. Correlations among any finite collection of measurable sets converge to the product of their measures whenever all pairwise time separations diverge.
Manuscripts in this family · 1
Rokhlin's multiple-mixing problem for one transformation
Sep 23, 2026·paper.pdf
Every invertible mixing probability-preserving transformation is mixing of every finite order. Thus Rokhlin's multiple-mixing problem for a single transformation has an affirmative answer.