Ergodic Properties of a Class of Discrete Abelian Group Extensions of Rank-One Transformations

Details Ergodic Properties of a Class of Discrete Abelian Group Extensions of Rank-One Transformations Ergodic Properties of a Class of Discrete Abelian Group Extensions of Rank-One Transformations

2008-03-28

arxiv.org/abs/0803.4044v1

Colloq. Math. 119 (2010), no. 1, 1--22

Mathematics

Dynamical Systems

20 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Ergodic Properties of a Class of Discrete Abelian Group Extensions of Rank-One Transformations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ergodic Properties of a Class of Discrete Abelian Group Extensions of Rank-One Transformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ergodic Properties of a Class of Discrete Abelian Group Extensions of Rank-One Transformations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-173642