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

• Autorzy: Y. Derriennic , K. Frączek , M. Lemańczyk , F. Parreau
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37A50: Relations with probability theory and stochastic processes
• 37A05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 110
• Numer: 1
• Strony: 81-115

Daty

wydano

2008

Twórcy

autor

Y. Derriennic

• 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

K. Frączek

• 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

M. Lemańczyk

• 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

F. Parreau

• Laboratoire d'Analyse, Géométrie, et Applications, UMR 7539, Université Paris 13 et CNRS, 99, av. J.-B. Clément, 93430 Villetaneuse, France

Identyfikatory

DOI

10.4064/cm110-1-3