Three Zutot

Details Three Zutot Three Zutot

2011-02-28

arxiv.org/abs/1102.5754v2

Mathematics

Dynamical Systems

The paper has been withdrawn because the statement, in the first zuta,that the product measure \nu_t is stationary is wrong. T

Scientific paper

Three topics in dynamical systems are discussed. In the first two sections we solve some open problems concerning, respectively, Furstenberg entropy of stationary dynamical systems, and uniformly rigid actions admitting a weakly mixing fully supported invariant probability measure. In the third section we provide a new example that displays some unexpected properties of strictly ergodic actions of non-amenable groups.

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