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math.DS2024
On the class of systems which are disjoint from every ergodic system
Eli Glasner, Benjamin Weiss
In this note we give a fairly direct proof of a recent theorem of Gorska, Lemanczyk and de la Rue which characterises the class of measure preserving transformations that are disjo…
math.DS2023
On intermediate factors of a product of disjoint systems
Eli Glasner, Benjamin Weiss
We consider an intermediate factor situation in two categories: probability measure preserving ergodic theory and compact topological dynamics. In the first we prove a master-key t…
math.DS2003★ 1 cited
The automorphism group of the Gaussian measure cannot act pointwise
E. Glasner, B. Tsirelson, B. Weiss
Classical ergodic theory deals with measure (or measure class) preserving actions of locally compact groups on Lebesgue spaces. An important tool in this setting is a theorem of Ma…