Minimal Self-Joinings, Bounded Constructions, and Weak Closure of Ergodic Actions

Abstract

For a weakly mixing bounded rank-one construction the disjointness of its powers is proved. For non-rigid constructions we get minimal self-joinings. Examples of non-mixing rank one actions with explicit weak closure are proposed.

arXiv commentErgodic theory

Cited by in corpus (6)

• On spectral disjointness of powers for rank-one transformations and Möbius orthogonality
• Weak limits of powers of Chacon's automorphism
• Bounded rank-one transformations
• Disjointness between bounded rank-one transformations
• Chacon's Type Ergodic Transformations with Unbounded Arithmetic Spacers
• Generalized Chacon polynomial constructions