Hypercyclic Abelian Semigroups of Matrices on Rn

Details Hypercyclic Abelian Semigroups of Matrices on Rn Hypercyclic Abelian Semigroups of Matrices on Rn

2010-10-28

arxiv.org/abs/1010.5915v1

Mathematics

Dynamical Systems

19 pages

Scientific paper

We give a complete characterization of existence of dense orbit for any abelian semigroup of matrices on R^{n}. For finitely generated semigroups, this characterization is explicit and it is used to determine the minimal number of matrices in normal form over R which form a hypercyclic abelian semigroup on R^{n}. In particular, we show that no abelian semigroup generated by [(n+1)/2] matrices on Rn can be hyper-cyclic. ([ ] denotes the integer part).

Affiliated with

Also associated with

No associations

Rating

Hypercyclic Abelian Semigroups of Matrices on Rn 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 Hypercyclic Abelian Semigroups of Matrices on Rn, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hypercyclic Abelian Semigroups of Matrices on Rn will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-583614