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arxiv: 1212.2602 · v2 · pith:P4OXTEMMnew · submitted 2012-12-11 · 🧮 math.DS

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

V. V. Ryzhikov This is my paper
classification 🧮 math.DS
keywords actionsboundedclosureconstructionsminimalself-joiningsweakconstruction
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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.

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