Ergodic properties of a class of discrete Abelian group extensions of rank-one transformations

Chris Dodd, et al. "Ergodic properties of a class of discrete Abelian group extensions of rank-one transformations." Colloquium Mathematicae 119.1 (2010): 1-22. <http://eudml.org/doc/283931>.

@article{ChrisDodd2010,
abstract = {We define a class of discrete Abelian group extensions of rank-one transformations and establish necessary and sufficient conditions for these extensions to be power weakly mixing. We show that all members of this class are multiply recurrent. We then study conditions sufficient for showing that Cartesian products of transformations are conservative for a class of invertible infinite measure-preserving transformations and provide examples of these transformations.},
author = {Chris Dodd, Phakawa Jeasakul, Anne Jirapattanakul, Daniel M. Kane, Becky Robinson, Noah D. Stein, Cesar E. Silva},
journal = {Colloquium Mathematicae},
keywords = {infinite measure-preserving; ergodic; group extensions; multiple recurrence},
language = {eng},
number = {1},
pages = {1-22},
title = {Ergodic properties of a class of discrete Abelian group extensions of rank-one transformations},
url = {http://eudml.org/doc/283931},
volume = {119},
year = {2010},
}

TY - JOUR
AU - Chris Dodd
AU - Phakawa Jeasakul
AU - Anne Jirapattanakul
AU - Daniel M. Kane
AU - Becky Robinson
AU - Noah D. Stein
AU - Cesar E. Silva
TI - Ergodic properties of a class of discrete Abelian group extensions of rank-one transformations
JO - Colloquium Mathematicae
PY - 2010
VL - 119
IS - 1
SP - 1
EP - 22
AB - We define a class of discrete Abelian group extensions of rank-one transformations and establish necessary and sufficient conditions for these extensions to be power weakly mixing. We show that all members of this class are multiply recurrent. We then study conditions sufficient for showing that Cartesian products of transformations are conservative for a class of invertible infinite measure-preserving transformations and provide examples of these transformations.
LA - eng
KW - infinite measure-preserving; ergodic; group extensions; multiple recurrence
UR - http://eudml.org/doc/283931
ER -