Mohammad Javaheri
Published 2009-05-08, updated 2010-04-09Version 2
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 $\mathbb{K}^n$.
Semigroups of real functions with dense orbits
Uniform distribution of orbits of lattices on spaces of frames
Limiting distribution of dense orbits in a moduli space of rank $m$ discrete subgroups in $(m+1)$-space
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