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Smorodinsky’s conjecture on rank-one mixing

Terrence Adams

Proceedings of the American Mathematical Society · 1998 · 73 citations · 8 references

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Abstract

We prove Smorodinsky’s conjecture: the rank-one transformation, obtained by adding staircases whose heights increase consecutively by one, is mixing.

References

8

Introduction to fuzzy arithmetic: Theory and applications

Caroline M. Eastman · International Journal of Approximate Reasoning · 1987 · 1.1K citations

, , +8

Twofold mixing implies threefold mixing for rank one transformations

Steven Kalikow · Ergodic Theory and Dynamical Systems · 1984 · 104 citations

, , +8

On the mean ergodic theorem for subsequences

J. R. Blum, D. L. Hanson · Bulletin of the American Mathematical Society · 1960 · 94 citations · Full text

, , +10

Joining-rank and the structure of finite rank mixing transformations

Jonathan King · Journal d Analyse Mathématique · 1988 · 77 citations

, , +2

Joinings and multiple mixing of finite rank actions

V. V. Ryzhikov · Functional Analysis and Its Applications · 1993 · 35 citations

, , +2