Mathematics – Dynamical Systems
Scientific paper
2009-05-08
Mathematics
Dynamical Systems
11 pages
Scientific paper
We give examples of $n \times n$ matrices $A$ and $B$ over the filed
$\mathbb{K}=\mathbb{R}$ or $\mathbb{C}$ such that for almost every column
vector $x \in \mathbb{K}^n$, the orbit of $x$ under the action of the semigroup
generated by $A$ and $B$ is dense in $\mathbb{K}^n$.
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