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

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Derriennic Y., Frączek K., Lemańczyk M., Parreau F.

Colloquium Mathematicum

2008

tom 110

nr 1

81-115

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 by stationary ergodic symmetric α-stable processes are shown to belong to the ELF class.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Derriennic Y.

1 Frączek K.

1 Lemańczyk M.

1 Parreau F.

1 2008

Wyniki wyszukiwania

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