English

Semigroups of matrices with dense orbits

Dynamical Systems 2010-04-12 v2 Functional Analysis

Abstract

We give examples of n×nn \times n matrices AA and BB over the filed K=R\mathbb{K}=\mathbb{R} or C\mathbb{C} such that for almost every column vector xKnx \in \mathbb{K}^n, the orbit of xx under the action of the semigroup generated by AA and BB is dense in Kn\mathbb{K}^n.

Keywords

Cite

@article{arxiv.0905.1311,
  title  = {Semigroups of matrices with dense orbits},
  author = {Mohammad Javaheri},
  journal= {arXiv preprint arXiv:0905.1311},
  year   = {2010}
}

Comments

11 pages

R2 v1 2026-06-21T12:59:48.560Z