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

Y. Derriennic, et al. "Ergodic automorphisms whose weak closure of off-diagonal measures consists of ergodic self-joinings." Colloquium Mathematicae 110.1 (2008): 81-115. <http://eudml.org/doc/283575>.

@article{Y2008,
abstract = {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.},
author = {Y. Derriennic, K. Frączek, M. Lemańczyk, F. Parreau},
journal = {Colloquium Mathematicae},
keywords = {joinings; ELF property; disjointness},
language = {eng},
number = {1},
pages = {81-115},
title = {Ergodic automorphisms whose weak closure of off-diagonal measures consists of ergodic self-joinings},
url = {http://eudml.org/doc/283575},
volume = {110},
year = {2008},
}

TY - JOUR
AU - Y. Derriennic
AU - K. Frączek
AU - M. Lemańczyk
AU - F. Parreau
TI - Ergodic automorphisms whose weak closure of off-diagonal measures consists of ergodic self-joinings
JO - Colloquium Mathematicae
PY - 2008
VL - 110
IS - 1
SP - 81
EP - 115
AB - 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.
LA - eng
KW - joinings; ELF property; disjointness
UR - http://eudml.org/doc/283575
ER -