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Ergodic automorphisms whose weak closure of off-diagonal measures consists of ergodic self-joinings

Y. DerriennicK. FrączekM. LemańczykF. Parreau — 2008

Colloquium Mathematicae

Basic ergodic properties of the ELF class of automorphisms, i.e. of the class of ergodic automorphisms whose weak closure of measures supported on the graphs of iterates of T consists of ergodic self-joinings are investigated. Disjointness of the ELF class with: 2-fold simple automorphisms, interval exchange transformations given by a special type permutations and time-one maps of measurable flows is discussed. All ergodic Poisson suspension automorphisms as well as dynamical systems determined...

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