Concepedia

MIXING, RANK, AND MINIMAL SELF-JOINING OF ACTIONS WITH AN INVARIANT MEASURE

V. V. Ryzhikov

Sbornik Mathematics · 1993 · 28 citations · 12 references

DOI

Concepts

Abstract

It is proved that mixing transformations and flows of rank 1 have mixing of any multiplicity and a minimal self-joining of any order.

References

12

Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

Harry Furstenberg · Theory of Computing Systems · 1967 · 1K citations

, , +13

On ergodic actions whose self-joinings are graphs

Andrés del Junco, Daniel J. Rudolph · Ergodic Theory and Dynamical Systems · 1987 · 162 citations · Full text

, , +13

An example of a measure preserving map with minimal self-joinings, and applications

Daniel J. Rudolph · Journal d Analyse Mathématique · 1979 · 156 citations

, , +6

Horocycle Flows, Joinings and Rigidity of Products

Marina Ratner · Annals of Mathematics · 1983 · 128 citations

, , +4

Twofold mixing implies threefold mixing for rank one transformations

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

, , +8