Semigroups of matrices with dense orbits

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Javaheri, Mohammad
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Abstract
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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 $\mathbb{K}^n$.
Comment: 11 pages
Keywords
Mathematics - Dynamical Systems, Mathematics - Functional Analysis, 37B05
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