Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
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.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
81-115
Opis fizyczny
Daty
wydano
2008
Twórcy
autor
- Laboratoire de Mathématiques de Brest, associé au CNRS (Unite Mixte de Recherche no. 6205), Université de Bretagne Occidentale, 6, av. Victor Le Gorgeu, CS 93837, F-29238 Brest Cedex 3, France
autor
- Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
- Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland
autor
- Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland
- Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland
autor
- Laboratoire d'Analyse, Géométrie, et Applications, UMR 7539, Université Paris 13 et CNRS, 99, av. J.-B. Clément, 93430 Villetaneuse, France
Bibliografia
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Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-1-3