Action of Non Abelian Group Generated by Affine Homotheties on R^n

Mathematics – Dynamical Systems

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

In this paper, we study the action of non abelian group G generated by affine homotheties on R^n. We prove that G satisfies one of the following properties: (i) there exist a subgroup F_{G} of R\{0} containing 0 in its closure, a G-invariant affine subspace E_{G} of R^n and a in E_{G} such that for every x in R^n the closure of the orbit G(x) is equal to F_{G} .(x - a) +E_{G}. In particular, G(x) is dense in E_{G} for every x in E_{G} and every orbit of U = R^n\E_{G} is minimal in U. (ii) there exists a closed subgroup H_{G} of R^n and a in R^n such that for every x in R^n, the closure of the orbit G(x) is equal to the union of (x + H_{G}) and (-x + a + H_{G}).

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Action of Non Abelian Group Generated by Affine Homotheties on R^n 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 Action of Non Abelian Group Generated by Affine Homotheties on R^n, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Action of Non Abelian Group Generated by Affine Homotheties on R^n will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-518584

All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.